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Finding the Third Proportional to 99,164.25 and 203,609.25

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Solution

The third proportional to 99,164.25 and 203,609.25 is: 418,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,164.25 : 203,609.25 = 203,609.25 : x
  2. Step 2: Convert to fraction form
    99,164.25/203,609.25 = 203,609.25/x
  3. Step 3: Cross multiply
    99,164.25x = 203,609.25 × 203,609.25
  4. Step 4: Simplify right side
    99,164.25x = 41,456,726,685.56
  5. Step 5: Solve for x
    x = 41,456,726,685.56/99,164.25
  6. Step 6: Final answer
    x = 418,061.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.