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Finding the Third Proportional to 107,306.44 and 231,219.56

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Solution

The third proportional to 107,306.44 and 231,219.56 is: 498,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,306.44 : 231,219.56 = 231,219.56 : x
  2. Step 2: Convert to fraction form
    107,306.44/231,219.56 = 231,219.56/x
  3. Step 3: Cross multiply
    107,306.44x = 231,219.56 × 231,219.56
  4. Step 4: Simplify right side
    107,306.44x = 53,462,486,082.69
  5. Step 5: Solve for x
    x = 53,462,486,082.69/107,306.44
  6. Step 6: Final answer
    x = 498,222.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.