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Finding the Third Proportional to 98,422 and 206,198

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Solution

The third proportional to 98,422 and 206,198 is: 431,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,422 : 206,198 = 206,198 : x
  2. Step 2: Convert to fraction form
    98,422/206,198 = 206,198/x
  3. Step 3: Cross multiply
    98,422x = 206,198 × 206,198
  4. Step 4: Simplify right side
    98,422x = 42,517,615,204
  5. Step 5: Solve for x
    x = 42,517,615,204/98,422
  6. Step 6: Final answer
    x = 431,993.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.