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Finding the Third Proportional to 47,635.88 and 101,598.75

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Solution

The third proportional to 47,635.88 and 101,598.75 is: 216,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,635.88 : 101,598.75 = 101,598.75 : x
  2. Step 2: Convert to fraction form
    47,635.88/101,598.75 = 101,598.75/x
  3. Step 3: Cross multiply
    47,635.88x = 101,598.75 × 101,598.75
  4. Step 4: Simplify right side
    47,635.88x = 10,322,306,001.56
  5. Step 5: Solve for x
    x = 10,322,306,001.56/47,635.88
  6. Step 6: Final answer
    x = 216,691.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.