Finding the Third Proportional to 97,665.75 and 214,027.31
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Solution
The third proportional to 97,665.75 and 214,027.31 is: 469,025.12
Step by Step Solution
- Step 1: Write the proportion equation
97,665.75 : 214,027.31 = 214,027.31 : x - Step 2: Convert to fraction form
97,665.75/214,027.31 = 214,027.31/x - Step 3: Cross multiply
97,665.75x = 214,027.31 × 214,027.31 - Step 4: Simplify right side
97,665.75x = 45,807,690,495.97 - Step 5: Solve for x
x = 45,807,690,495.97/97,665.75 - Step 6: Final answer
x = 469,025.12
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.