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Finding the Third Proportional to 44,105.50 and 85,983.50

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Solution

The third proportional to 44,105.50 and 85,983.50 is: 167,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,105.50 : 85,983.50 = 85,983.50 : x
  2. Step 2: Convert to fraction form
    44,105.50/85,983.50 = 85,983.50/x
  3. Step 3: Cross multiply
    44,105.50x = 85,983.50 × 85,983.50
  4. Step 4: Simplify right side
    44,105.50x = 7,393,162,272.25
  5. Step 5: Solve for x
    x = 7,393,162,272.25/44,105.50
  6. Step 6: Final answer
    x = 167,624.50

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.