Elimination of poverty and geometric population growth can only happen with education; specifically, the empowerment of women. Women in those countries must gain control over when and if they are going to reproduce, and that involves education. I'm talking about education at a very general level, in social programs that develop basic social awareness, hygiene, birth control, and plant the seed that religion need not suppress sexual emancipation any longer.
There are reasons that Islam and Christianity have fought the above idea so hard for hundreds of years. Once that first step is taken, those countries will immediately advance.
Yes Christianity and Islam are the main reasons Africa in general is a 3rd world shithole. Oops nope. The only time anywhere in Africa has not been a cesspool is when it was Colonized from Western Countries. The moment it changed back down it went. Good example: Somalia.