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Finding the Third Proportional to 103,737.38 and 227,562.75

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Solution

The third proportional to 103,737.38 and 227,562.75 is: 499,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,737.38 : 227,562.75 = 227,562.75 : x
  2. Step 2: Convert to fraction form
    103,737.38/227,562.75 = 227,562.75/x
  3. Step 3: Cross multiply
    103,737.38x = 227,562.75 × 227,562.75
  4. Step 4: Simplify right side
    103,737.38x = 51,784,805,187.56
  5. Step 5: Solve for x
    x = 51,784,805,187.56/103,737.38
  6. Step 6: Final answer
    x = 499,191.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.