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Finding the Third Proportional to 47,218 and 101,452

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Solution

The third proportional to 47,218 and 101,452 is: 217,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,218 : 101,452 = 101,452 : x
  2. Step 2: Convert to fraction form
    47,218/101,452 = 101,452/x
  3. Step 3: Cross multiply
    47,218x = 101,452 × 101,452
  4. Step 4: Simplify right side
    47,218x = 10,292,508,304
  5. Step 5: Solve for x
    x = 10,292,508,304/47,218
  6. Step 6: Final answer
    x = 217,978.49

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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.