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Finding the Third Proportional to 47,872.90 and 104,167.27

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Solution

The third proportional to 47,872.90 and 104,167.27 is: 226,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.90 : 104,167.27 = 104,167.27 : x
  2. Step 2: Convert to fraction form
    47,872.90/104,167.27 = 104,167.27/x
  3. Step 3: Cross multiply
    47,872.90x = 104,167.27 × 104,167.27
  4. Step 4: Simplify right side
    47,872.90x = 10,850,819,227.79
  5. Step 5: Solve for x
    x = 10,850,819,227.79/47,872.90
  6. Step 6: Final answer
    x = 226,658.92

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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.