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Finding the Third Proportional to 96,867 and 202,599

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Solution

The third proportional to 96,867 and 202,599 is: 423,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,867 : 202,599 = 202,599 : x
  2. Step 2: Convert to fraction form
    96,867/202,599 = 202,599/x
  3. Step 3: Cross multiply
    96,867x = 202,599 × 202,599
  4. Step 4: Simplify right side
    96,867x = 41,046,354,801
  5. Step 5: Solve for x
    x = 41,046,354,801/96,867
  6. Step 6: Final answer
    x = 423,739.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.