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Finding the Third Proportional to 96,937 and 209,150

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Solution

The third proportional to 96,937 and 209,150 is: 451,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,937 : 209,150 = 209,150 : x
  2. Step 2: Convert to fraction form
    96,937/209,150 = 209,150/x
  3. Step 3: Cross multiply
    96,937x = 209,150 × 209,150
  4. Step 4: Simplify right side
    96,937x = 43,743,722,500
  5. Step 5: Solve for x
    x = 43,743,722,500/96,937
  6. Step 6: Final answer
    x = 451,259.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.