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Finding the Third Proportional to 96,640 and 195,999

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Solution

The third proportional to 96,640 and 195,999 is: 397,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,640 : 195,999 = 195,999 : x
  2. Step 2: Convert to fraction form
    96,640/195,999 = 195,999/x
  3. Step 3: Cross multiply
    96,640x = 195,999 × 195,999
  4. Step 4: Simplify right side
    96,640x = 38,415,608,001
  5. Step 5: Solve for x
    x = 38,415,608,001/96,640
  6. Step 6: Final answer
    x = 397,512.50

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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.