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Finding the Third Proportional to 47,443 and 101,921

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Solution

The third proportional to 47,443 and 101,921 is: 218,955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,443 : 101,921 = 101,921 : x
  2. Step 2: Convert to fraction form
    47,443/101,921 = 101,921/x
  3. Step 3: Cross multiply
    47,443x = 101,921 × 101,921
  4. Step 4: Simplify right side
    47,443x = 10,387,890,241
  5. Step 5: Solve for x
    x = 10,387,890,241/47,443
  6. Step 6: Final answer
    x = 218,955.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.