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Finding the Third Proportional to 47,414.25 and 101,856.75

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Solution

The third proportional to 47,414.25 and 101,856.75 is: 218,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414.25 : 101,856.75 = 101,856.75 : x
  2. Step 2: Convert to fraction form
    47,414.25/101,856.75 = 101,856.75/x
  3. Step 3: Cross multiply
    47,414.25x = 101,856.75 × 101,856.75
  4. Step 4: Simplify right side
    47,414.25x = 10,374,797,520.56
  5. Step 5: Solve for x
    x = 10,374,797,520.56/47,414.25
  6. Step 6: Final answer
    x = 218,811.80

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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.