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Finding the Third Proportional to 99,163.69 and 218,010.38

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Solution

The third proportional to 99,163.69 and 218,010.38 is: 479,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,163.69 : 218,010.38 = 218,010.38 : x
  2. Step 2: Convert to fraction form
    99,163.69/218,010.38 = 218,010.38/x
  3. Step 3: Cross multiply
    99,163.69x = 218,010.38 × 218,010.38
  4. Step 4: Simplify right side
    99,163.69x = 47,528,523,607.64
  5. Step 5: Solve for x
    x = 47,528,523,607.64/99,163.69
  6. Step 6: Final answer
    x = 479,293.63

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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.