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Finding the Third Proportional to 107,944,170.75 and 233,123,496.75

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Solution

The third proportional to 107,944,170.75 and 233,123,496.75 is: 503,469,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,944,170.75 : 233,123,496.75 = 233,123,496.75 : x
  2. Step 2: Convert to fraction form
    107,944,170.75/233,123,496.75 = 233,123,496.75/x
  3. Step 3: Cross multiply
    107,944,170.75x = 233,123,496.75 × 233,123,496.75
  4. Step 4: Simplify right side
    107,944,170.75x = 54,346,564,736,947,264
  5. Step 5: Solve for x
    x = 54,346,564,736,947,264/107,944,170.75
  6. Step 6: Final answer
    x = 503,469,194.86

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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.