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Finding the Third Proportional to 44,560.50 and 99,084

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Solution

The third proportional to 44,560.50 and 99,084 is: 220,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,560.50 : 99,084 = 99,084 : x
  2. Step 2: Convert to fraction form
    44,560.50/99,084 = 99,084/x
  3. Step 3: Cross multiply
    44,560.50x = 99,084 × 99,084
  4. Step 4: Simplify right side
    44,560.50x = 9,817,639,056
  5. Step 5: Solve for x
    x = 9,817,639,056/44,560.50
  6. Step 6: Final answer
    x = 220,321.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.