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Finding the Third Proportional to 82,704.19 and 179,411.25

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Solution

The third proportional to 82,704.19 and 179,411.25 is: 389,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,704.19 : 179,411.25 = 179,411.25 : x
  2. Step 2: Convert to fraction form
    82,704.19/179,411.25 = 179,411.25/x
  3. Step 3: Cross multiply
    82,704.19x = 179,411.25 × 179,411.25
  4. Step 4: Simplify right side
    82,704.19x = 32,188,396,626.56
  5. Step 5: Solve for x
    x = 32,188,396,626.56/82,704.19
  6. Step 6: Final answer
    x = 389,199.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.