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Finding the Third Proportional to 96,632 and 195,996

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Solution

The third proportional to 96,632 and 195,996 is: 397,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,632 : 195,996 = 195,996 : x
  2. Step 2: Convert to fraction form
    96,632/195,996 = 195,996/x
  3. Step 3: Cross multiply
    96,632x = 195,996 × 195,996
  4. Step 4: Simplify right side
    96,632x = 38,414,432,016
  5. Step 5: Solve for x
    x = 38,414,432,016/96,632
  6. Step 6: Final answer
    x = 397,533.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.