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Finding the Third Proportional to 107,463.38 and 230,785.88

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Solution

The third proportional to 107,463.38 and 230,785.88 is: 495,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,463.38 : 230,785.88 = 230,785.88 : x
  2. Step 2: Convert to fraction form
    107,463.38/230,785.88 = 230,785.88/x
  3. Step 3: Cross multiply
    107,463.38x = 230,785.88 × 230,785.88
  4. Step 4: Simplify right side
    107,463.38x = 53,262,120,099.52
  5. Step 5: Solve for x
    x = 53,262,120,099.52/107,463.38
  6. Step 6: Final answer
    x = 495,630.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.