
                ### Instruction: help me answer this question Question: The sum of two numbers is 6 times their geometric mean; show that numbers are in the ratio (a/b)^3 : (b/a)^3., think step by step
                ### Assistant: Explanation: 
Upon solving the expression and using the definition of a geometric mean, one can prove that the numbers are indeed in the given ratio. , The answer is Answer: The numbers are in the ratio (a/b)^3 : (b/a)^3.
