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!