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Finding the Third Proportional to 99,166.50 and 218,014.88

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Solution

The third proportional to 99,166.50 and 218,014.88 is: 479,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,166.50 : 218,014.88 = 218,014.88 : x
  2. Step 2: Convert to fraction form
    99,166.50/218,014.88 = 218,014.88/x
  3. Step 3: Cross multiply
    99,166.50x = 218,014.88 × 218,014.88
  4. Step 4: Simplify right side
    99,166.50x = 47,530,485,721.27
  5. Step 5: Solve for x
    x = 47,530,485,721.27/99,166.50
  6. Step 6: Final answer
    x = 479,299.82

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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.