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Finding the Third Proportional to 103,854.66 and 225,934.31

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Solution

The third proportional to 103,854.66 and 225,934.31 is: 491,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,854.66 : 225,934.31 = 225,934.31 : x
  2. Step 2: Convert to fraction form
    103,854.66/225,934.31 = 225,934.31/x
  3. Step 3: Cross multiply
    103,854.66x = 225,934.31 × 225,934.31
  4. Step 4: Simplify right side
    103,854.66x = 51,046,313,564.85
  5. Step 5: Solve for x
    x = 51,046,313,564.85/103,854.66
  6. Step 6: Final answer
    x = 491,516.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.