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Finding the Third Proportional to 40,486 and 88,943

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Solution

The third proportional to 40,486 and 88,943 is: 195,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,486 : 88,943 = 88,943 : x
  2. Step 2: Convert to fraction form
    40,486/88,943 = 88,943/x
  3. Step 3: Cross multiply
    40,486x = 88,943 × 88,943
  4. Step 4: Simplify right side
    40,486x = 7,910,857,249
  5. Step 5: Solve for x
    x = 7,910,857,249/40,486
  6. Step 6: Final answer
    x = 195,397.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.