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Finding the Third Proportional to 98,917 and 209,605

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Solution

The third proportional to 98,917 and 209,605 is: 444,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,917 : 209,605 = 209,605 : x
  2. Step 2: Convert to fraction form
    98,917/209,605 = 209,605/x
  3. Step 3: Cross multiply
    98,917x = 209,605 × 209,605
  4. Step 4: Simplify right side
    98,917x = 43,934,256,025
  5. Step 5: Solve for x
    x = 43,934,256,025/98,917
  6. Step 6: Final answer
    x = 444,152.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.