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Finding the Third Proportional to 83,911 and 182,431

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Solution

The third proportional to 83,911 and 182,431 is: 396,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,911 : 182,431 = 182,431 : x
  2. Step 2: Convert to fraction form
    83,911/182,431 = 182,431/x
  3. Step 3: Cross multiply
    83,911x = 182,431 × 182,431
  4. Step 4: Simplify right side
    83,911x = 33,281,069,761
  5. Step 5: Solve for x
    x = 33,281,069,761/83,911
  6. Step 6: Final answer
    x = 396,623.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.