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Finding the Third Proportional to 107,794.13 and 226,761

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Solution

The third proportional to 107,794.13 and 226,761 is: 477,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,794.13 : 226,761 = 226,761 : x
  2. Step 2: Convert to fraction form
    107,794.13/226,761 = 226,761/x
  3. Step 3: Cross multiply
    107,794.13x = 226,761 × 226,761
  4. Step 4: Simplify right side
    107,794.13x = 51,420,551,121
  5. Step 5: Solve for x
    x = 51,420,551,121/107,794.13
  6. Step 6: Final answer
    x = 477,025.54

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