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Finding the Third Proportional to 49,619.25 and 80,200.13

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Solution

The third proportional to 49,619.25 and 80,200.13 is: 129,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,619.25 : 80,200.13 = 80,200.13 : x
  2. Step 2: Convert to fraction form
    49,619.25/80,200.13 = 80,200.13/x
  3. Step 3: Cross multiply
    49,619.25x = 80,200.13 × 80,200.13
  4. Step 4: Simplify right side
    49,619.25x = 6,432,060,050.02
  5. Step 5: Solve for x
    x = 6,432,060,050.02/49,619.25
  6. Step 6: Final answer
    x = 129,628.32

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.