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Finding the Third Proportional to 38,305.41 and 89,013.94

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Solution

The third proportional to 38,305.41 and 89,013.94 is: 206,850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,305.41 : 89,013.94 = 89,013.94 : x
  2. Step 2: Convert to fraction form
    38,305.41/89,013.94 = 89,013.94/x
  3. Step 3: Cross multiply
    38,305.41x = 89,013.94 × 89,013.94
  4. Step 4: Simplify right side
    38,305.41x = 7,923,481,069.25
  5. Step 5: Solve for x
    x = 7,923,481,069.25/38,305.41
  6. Step 6: Final answer
    x = 206,850.20

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.