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Finding the Third Proportional to 99,177 and 218,035

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Solution

The third proportional to 99,177 and 218,035 is: 479,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,177 : 218,035 = 218,035 : x
  2. Step 2: Convert to fraction form
    99,177/218,035 = 218,035/x
  3. Step 3: Cross multiply
    99,177x = 218,035 × 218,035
  4. Step 4: Simplify right side
    99,177x = 47,539,261,225
  5. Step 5: Solve for x
    x = 47,539,261,225/99,177
  6. Step 6: Final answer
    x = 479,337.56

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Why These Related Problems?

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