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Finding the Third Proportional to 107,797 and 226,766

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Solution

The third proportional to 107,797 and 226,766 is: 477,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,797 : 226,766 = 226,766 : x
  2. Step 2: Convert to fraction form
    107,797/226,766 = 226,766/x
  3. Step 3: Cross multiply
    107,797x = 226,766 × 226,766
  4. Step 4: Simplify right side
    107,797x = 51,422,818,756
  5. Step 5: Solve for x
    x = 51,422,818,756/107,797
  6. Step 6: Final answer
    x = 477,033.86

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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.