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Finding the Third Proportional to 96,781.50 and 208,396.13

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Solution

The third proportional to 96,781.50 and 208,396.13 is: 448,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,781.50 : 208,396.13 = 208,396.13 : x
  2. Step 2: Convert to fraction form
    96,781.50/208,396.13 = 208,396.13/x
  3. Step 3: Cross multiply
    96,781.50x = 208,396.13 × 208,396.13
  4. Step 4: Simplify right side
    96,781.50x = 43,428,944,915.02
  5. Step 5: Solve for x
    x = 43,428,944,915.02/96,781.50
  6. Step 6: Final answer
    x = 448,731.88

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Why These Related Problems?

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