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Finding the Third Proportional to 99,239.50 and 218,162

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Solution

The third proportional to 99,239.50 and 218,162 is: 479,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,239.50 : 218,162 = 218,162 : x
  2. Step 2: Convert to fraction form
    99,239.50/218,162 = 218,162/x
  3. Step 3: Cross multiply
    99,239.50x = 218,162 × 218,162
  4. Step 4: Simplify right side
    99,239.50x = 47,594,658,244
  5. Step 5: Solve for x
    x = 47,594,658,244/99,239.50
  6. Step 6: Final answer
    x = 479,593.89

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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.