How did Rome in the third second centuries BC establish its dominance in the Mediterranean?

During this period of time, Rome waged a long war against Carthage. The war was for domination of the Mediterranean. There were three military conflicts in total. The most recent took place in 149 BC. So in 146 BC Carthage was taken and destroyed. After which Rome was able to establish its total control in the western Mediterranean. He became the most powerful and influential maritime state.