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Finding the Third Proportional to 96,390.50 and 207,269

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Solution

The third proportional to 96,390.50 and 207,269 is: 445,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,390.50 : 207,269 = 207,269 : x
  2. Step 2: Convert to fraction form
    96,390.50/207,269 = 207,269/x
  3. Step 3: Cross multiply
    96,390.50x = 207,269 × 207,269
  4. Step 4: Simplify right side
    96,390.50x = 42,960,438,361
  5. Step 5: Solve for x
    x = 42,960,438,361/96,390.50
  6. Step 6: Final answer
    x = 445,691.62

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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.