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Finding the Third Proportional to 96,849 and 209,260.13

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Solution

The third proportional to 96,849 and 209,260.13 is: 452,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,849 : 209,260.13 = 209,260.13 : x
  2. Step 2: Convert to fraction form
    96,849/209,260.13 = 209,260.13/x
  3. Step 3: Cross multiply
    96,849x = 209,260.13 × 209,260.13
  4. Step 4: Simplify right side
    96,849x = 43,789,799,915.02
  5. Step 5: Solve for x
    x = 43,789,799,915.02/96,849
  6. Step 6: Final answer
    x = 452,145.09

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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.