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Finding the Third Proportional to 202,666.92 and 439,947.70

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Solution

The third proportional to 202,666.92 and 439,947.70 is: 955,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,666.92 : 439,947.70 = 439,947.70 : x
  2. Step 2: Convert to fraction form
    202,666.92/439,947.70 = 439,947.70/x
  3. Step 3: Cross multiply
    202,666.92x = 439,947.70 × 439,947.70
  4. Step 4: Simplify right side
    202,666.92x = 193,553,981,484.96
  5. Step 5: Solve for x
    x = 193,553,981,484.96/202,666.92
  6. Step 6: Final answer
    x = 955,034.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.