Final answer:
The South Island of New Zealand has a cooler climate than Southern Georgia and receives the highest rate of precipitation due to the prevailing westerly winds and the presence of the Southern Alps.
Step-by-step explanation:
The region that has a cooler climate than Southern Georgia and receives the highest rate of precipitation is the South Island of New Zealand. The prevailing westerly winds carrying moisture from the ocean come in contact with the mountains of the Southern Alps, resulting in high precipitation. On the eastern side of the mountains, there is a rain shadow effect, making the eastern coasts drier than the western coasts. This variation in precipitation rates is observed across the country.