A marriage between two or more people in which none of the partners have sexual intent; main purpose for a Platonic Marriage may be to gain access to the other's financial supply
Man1: Yo. I wanna marry you, sexy.
Woman1: Yeah right. You just want my money, you cunt!
Man1: Hey hey! I don't want your money, I want you!
Woman1: Ok, but if this is a Platonic Marriage where my sexual needs are not met, then I will drop you!