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Finding the Third Proportional to 80,896.22 and 188,947.69

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Solution

The third proportional to 80,896.22 and 188,947.69 is: 441,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,896.22 : 188,947.69 = 188,947.69 : x
  2. Step 2: Convert to fraction form
    80,896.22/188,947.69 = 188,947.69/x
  3. Step 3: Cross multiply
    80,896.22x = 188,947.69 × 188,947.69
  4. Step 4: Simplify right side
    80,896.22x = 35,701,228,611.60
  5. Step 5: Solve for x
    x = 35,701,228,611.60/80,896.22
  6. Step 6: Final answer
    x = 441,321.35

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.