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Finding the Third Proportional to 40,305.38 and 87,177.38

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Solution

The third proportional to 40,305.38 and 87,177.38 is: 188,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,305.38 : 87,177.38 = 87,177.38 : x
  2. Step 2: Convert to fraction form
    40,305.38/87,177.38 = 87,177.38/x
  3. Step 3: Cross multiply
    40,305.38x = 87,177.38 × 87,177.38
  4. Step 4: Simplify right side
    40,305.38x = 7,599,894,711.89
  5. Step 5: Solve for x
    x = 7,599,894,711.89/40,305.38
  6. Step 6: Final answer
    x = 188,557.85

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Why These Related Problems?

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