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Finding the Third Proportional to 107,793.76 and 226,758.87

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Solution

The third proportional to 107,793.76 and 226,758.87 is: 477,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,793.76 : 226,758.87 = 226,758.87 : x
  2. Step 2: Convert to fraction form
    107,793.76/226,758.87 = 226,758.87/x
  3. Step 3: Cross multiply
    107,793.76x = 226,758.87 × 226,758.87
  4. Step 4: Simplify right side
    107,793.76x = 51,419,583,848.16
  5. Step 5: Solve for x
    x = 51,419,583,848.16/107,793.76
  6. Step 6: Final answer
    x = 477,018.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.