Hi Kathy. 
 
The official doctrine of the church does not condemn marriage between different races in any way, and there are more and more inter-racial marriages, just as there are in society as a whole. 20 years ago, I asked a general authority about this very topic, and was told that marriage can be challenging, and an inter-racial marriage could be extra challenging, and that needed to be taken into consideration when choosing a spouse. You want to do everything to help ensure a successful marriage. And if race will enter into the picture, it is something to ponder upon before getting married. In today's environment, it becomes less of an issue. But no matter what, we believe that God honors the committments the same, and that his choices blessings are available to all families, regardless of race, or if the couple is of the same race or not. We see many inter-racial marriages thrive. Love and service is deeper than skin color after all. 
 
Hope that answer helps!

My name is Jason and I am the administrator and starter of this site. I am a mixed-race person and just about 90% of all my living relatives are, too. The church has put out guidelines that state that it is recommended to marry within your own "culture" for the sole reason that mixing cultures has shown to be hard on marriages (this is true both inside the church and out). 
 
It has nothing to do with race. 
 
For instance, an american, full-caucasian (white) girl that was born and raised in the Phillipines (let's say because she was from a military family) could marry a local Phillipino and have a very successful marriage. This is because she was raised in the same country and understands the culture.  
 
However, a white girl from Utah could have significantly more marital problems marrying the same Philipino guy. 
 
I come from a culture where it is common to take in family members to live with you if they are struggling or need help, or to give them money without the expectation of getting paid back. Many Americans, no matter what race they are, have had problems marrying into my culture. 
 
What it all boils down to is that your marriage will be successful if: 
 
1. You learn to sacrifice for your spouse. 
2. You make the Gospel of Jesus Christ your culture, leaving all other cultural practices and expectations behind it.

I am a converted LDS member, who have a children that is biracial and would not mind marrying a man outside my race. Jason's answer is appreciative and well thought out because in essence the truth is we, as Christians, put the Lord first; the guidelines that our community put on our respective cultures is irrelevant for a happy marriage. Thanks Jason