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Finding the Third Proportional to 107,839.75 and 226,834

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Solution

The third proportional to 107,839.75 and 226,834 is: 477,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,839.75 : 226,834 = 226,834 : x
  2. Step 2: Convert to fraction form
    107,839.75/226,834 = 226,834/x
  3. Step 3: Cross multiply
    107,839.75x = 226,834 × 226,834
  4. Step 4: Simplify right side
    107,839.75x = 51,453,663,556
  5. Step 5: Solve for x
    x = 51,453,663,556/107,839.75
  6. Step 6: Final answer
    x = 477,130.78

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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.