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Finding the Third Proportional to 119,200.88 and 180,016.13

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Solution

The third proportional to 119,200.88 and 180,016.13 is: 271,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,200.88 : 180,016.13 = 180,016.13 : x
  2. Step 2: Convert to fraction form
    119,200.88/180,016.13 = 180,016.13/x
  3. Step 3: Cross multiply
    119,200.88x = 180,016.13 × 180,016.13
  4. Step 4: Simplify right side
    119,200.88x = 32,405,805,260.02
  5. Step 5: Solve for x
    x = 32,405,805,260.02/119,200.88
  6. Step 6: Final answer
    x = 271,858.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.