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Finding the Third Proportional to 99,241 and 218,164

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Solution

The third proportional to 99,241 and 218,164 is: 479,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,241 : 218,164 = 218,164 : x
  2. Step 2: Convert to fraction form
    99,241/218,164 = 218,164/x
  3. Step 3: Cross multiply
    99,241x = 218,164 × 218,164
  4. Step 4: Simplify right side
    99,241x = 47,595,530,896
  5. Step 5: Solve for x
    x = 47,595,530,896/99,241
  6. Step 6: Final answer
    x = 479,595.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.