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Finding the Third Proportional to 47,416 and 101,863

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Solution

The third proportional to 47,416 and 101,863 is: 218,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,416 : 101,863 = 101,863 : x
  2. Step 2: Convert to fraction form
    47,416/101,863 = 101,863/x
  3. Step 3: Cross multiply
    47,416x = 101,863 × 101,863
  4. Step 4: Simplify right side
    47,416x = 10,376,070,769
  5. Step 5: Solve for x
    x = 10,376,070,769/47,416
  6. Step 6: Final answer
    x = 218,830.58

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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.