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Finding the Third Proportional to 47,788.13 and 103,882.88

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Solution

The third proportional to 47,788.13 and 103,882.88 is: 225,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,788.13 : 103,882.88 = 103,882.88 : x
  2. Step 2: Convert to fraction form
    47,788.13/103,882.88 = 103,882.88/x
  3. Step 3: Cross multiply
    47,788.13x = 103,882.88 × 103,882.88
  4. Step 4: Simplify right side
    47,788.13x = 10,791,651,718.27
  5. Step 5: Solve for x
    x = 10,791,651,718.27/47,788.13
  6. Step 6: Final answer
    x = 225,822.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.