Finding the Third Proportional to 97,757.13 and 214,198.75
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Solution
The third proportional to 97,757.13 and 214,198.75 is: 469,337.70
Step by Step Solution
- Step 1: Write the proportion equation
97,757.13 : 214,198.75 = 214,198.75 : x - Step 2: Convert to fraction form
97,757.13/214,198.75 = 214,198.75/x - Step 3: Cross multiply
97,757.13x = 214,198.75 × 214,198.75 - Step 4: Simplify right side
97,757.13x = 45,881,104,501.56 - Step 5: Solve for x
x = 45,881,104,501.56/97,757.13 - Step 6: Final answer
x = 469,337.70
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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.