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Finding the Third Proportional to 45,669.38 and 68,317.88

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Solution

The third proportional to 45,669.38 and 68,317.88 is: 102,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,669.38 : 68,317.88 = 68,317.88 : x
  2. Step 2: Convert to fraction form
    45,669.38/68,317.88 = 68,317.88/x
  3. Step 3: Cross multiply
    45,669.38x = 68,317.88 × 68,317.88
  4. Step 4: Simplify right side
    45,669.38x = 4,667,332,044.52
  5. Step 5: Solve for x
    x = 4,667,332,044.52/45,669.38
  6. Step 6: Final answer
    x = 102,198.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.