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Finding the Third Proportional to 47,414 and 101,859

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Solution

The third proportional to 47,414 and 101,859 is: 218,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414 : 101,859 = 101,859 : x
  2. Step 2: Convert to fraction form
    47,414/101,859 = 101,859/x
  3. Step 3: Cross multiply
    47,414x = 101,859 × 101,859
  4. Step 4: Simplify right side
    47,414x = 10,375,255,881
  5. Step 5: Solve for x
    x = 10,375,255,881/47,414
  6. Step 6: Final answer
    x = 218,822.62

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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.