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Finding the Third Proportional to 95,981 and 209,431

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Solution

The third proportional to 95,981 and 209,431 is: 456,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,981 : 209,431 = 209,431 : x
  2. Step 2: Convert to fraction form
    95,981/209,431 = 209,431/x
  3. Step 3: Cross multiply
    95,981x = 209,431 × 209,431
  4. Step 4: Simplify right side
    95,981x = 43,861,343,761
  5. Step 5: Solve for x
    x = 43,861,343,761/95,981
  6. Step 6: Final answer
    x = 456,979.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.