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Finding the Third Proportional to 42,711.75 and 99,793.13

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Solution

The third proportional to 42,711.75 and 99,793.13 is: 233,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,711.75 : 99,793.13 = 99,793.13 : x
  2. Step 2: Convert to fraction form
    42,711.75/99,793.13 = 99,793.13/x
  3. Step 3: Cross multiply
    42,711.75x = 99,793.13 × 99,793.13
  4. Step 4: Simplify right side
    42,711.75x = 9,958,667,797.27
  5. Step 5: Solve for x
    x = 9,958,667,797.27/42,711.75
  6. Step 6: Final answer
    x = 233,159.91

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.