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Finding the Third Proportional to 103,960.13 and 226,578.09

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Solution

The third proportional to 103,960.13 and 226,578.09 is: 493,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,960.13 : 226,578.09 = 226,578.09 : x
  2. Step 2: Convert to fraction form
    103,960.13/226,578.09 = 226,578.09/x
  3. Step 3: Cross multiply
    103,960.13x = 226,578.09 × 226,578.09
  4. Step 4: Simplify right side
    103,960.13x = 51,337,632,567.38
  5. Step 5: Solve for x
    x = 51,337,632,567.38/103,960.13
  6. Step 6: Final answer
    x = 493,820.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.