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Finding the Third Proportional to 96,092 and 206,397

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Solution

The third proportional to 96,092 and 206,397 is: 443,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,092 : 206,397 = 206,397 : x
  2. Step 2: Convert to fraction form
    96,092/206,397 = 206,397/x
  3. Step 3: Cross multiply
    96,092x = 206,397 × 206,397
  4. Step 4: Simplify right side
    96,092x = 42,599,721,609
  5. Step 5: Solve for x
    x = 42,599,721,609/96,092
  6. Step 6: Final answer
    x = 443,322.25

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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.