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Finding the Third Proportional to 96,552 and 207,792

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Solution

The third proportional to 96,552 and 207,792 is: 447,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,552 : 207,792 = 207,792 : x
  2. Step 2: Convert to fraction form
    96,552/207,792 = 207,792/x
  3. Step 3: Cross multiply
    96,552x = 207,792 × 207,792
  4. Step 4: Simplify right side
    96,552x = 43,177,515,264
  5. Step 5: Solve for x
    x = 43,177,515,264/96,552
  6. Step 6: Final answer
    x = 447,194.42

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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.