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Finding the Third Proportional to 44,138.81 and 66,306.94

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Solution

The third proportional to 44,138.81 and 66,306.94 is: 99,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,138.81 : 66,306.94 = 66,306.94 : x
  2. Step 2: Convert to fraction form
    44,138.81/66,306.94 = 66,306.94/x
  3. Step 3: Cross multiply
    44,138.81x = 66,306.94 × 66,306.94
  4. Step 4: Simplify right side
    44,138.81x = 4,396,609,960.63
  5. Step 5: Solve for x
    x = 4,396,609,960.63/44,138.81
  6. Step 6: Final answer
    x = 99,608.71

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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.