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Finding the Third Proportional to 47,414.54 and 101,575.90

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Solution

The third proportional to 47,414.54 and 101,575.90 is: 217,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414.54 : 101,575.90 = 101,575.90 : x
  2. Step 2: Convert to fraction form
    47,414.54/101,575.90 = 101,575.90/x
  3. Step 3: Cross multiply
    47,414.54x = 101,575.90 × 101,575.90
  4. Step 4: Simplify right side
    47,414.54x = 10,317,663,143.39
  5. Step 5: Solve for x
    x = 10,317,663,143.39/47,414.54
  6. Step 6: Final answer
    x = 217,605.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.