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Finding the Third Proportional to 96,554 and 207,796

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Solution

The third proportional to 96,554 and 207,796 is: 447,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,554 : 207,796 = 207,796 : x
  2. Step 2: Convert to fraction form
    96,554/207,796 = 207,796/x
  3. Step 3: Cross multiply
    96,554x = 207,796 × 207,796
  4. Step 4: Simplify right side
    96,554x = 43,179,177,616
  5. Step 5: Solve for x
    x = 43,179,177,616/96,554
  6. Step 6: Final answer
    x = 447,202.37

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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.