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Finding the Third Proportional to 45,497 and 98,446

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Solution

The third proportional to 45,497 and 98,446 is: 213,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,497 : 98,446 = 98,446 : x
  2. Step 2: Convert to fraction form
    45,497/98,446 = 98,446/x
  3. Step 3: Cross multiply
    45,497x = 98,446 × 98,446
  4. Step 4: Simplify right side
    45,497x = 9,691,614,916
  5. Step 5: Solve for x
    x = 9,691,614,916/45,497
  6. Step 6: Final answer
    x = 213,016.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.