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Finding the Third Proportional to 107,944,265.25 and 233,123,670

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Solution

The third proportional to 107,944,265.25 and 233,123,670 is: 503,469,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,944,265.25 : 233,123,670 = 233,123,670 : x
  2. Step 2: Convert to fraction form
    107,944,265.25/233,123,670 = 233,123,670/x
  3. Step 3: Cross multiply
    107,944,265.25x = 233,123,670 × 233,123,670
  4. Step 4: Simplify right side
    107,944,265.25x = 54,346,645,514,268,896
  5. Step 5: Solve for x
    x = 54,346,645,514,268,896/107,944,265.25
  6. Step 6: Final answer
    x = 503,469,502.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.