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Finding the Third Proportional to 81,982.13 and 170,236.69

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Solution

The third proportional to 81,982.13 and 170,236.69 is: 353,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,982.13 : 170,236.69 = 170,236.69 : x
  2. Step 2: Convert to fraction form
    81,982.13/170,236.69 = 170,236.69/x
  3. Step 3: Cross multiply
    81,982.13x = 170,236.69 × 170,236.69
  4. Step 4: Simplify right side
    81,982.13x = 28,980,529,770.97
  5. Step 5: Solve for x
    x = 28,980,529,770.97/81,982.13
  6. Step 6: Final answer
    x = 353,498.15

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.