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Finding the Third Proportional to 83,191.43 and 135,161.16

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Solution

The third proportional to 83,191.43 and 135,161.16 is: 219,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,191.43 : 135,161.16 = 135,161.16 : x
  2. Step 2: Convert to fraction form
    83,191.43/135,161.16 = 135,161.16/x
  3. Step 3: Cross multiply
    83,191.43x = 135,161.16 × 135,161.16
  4. Step 4: Simplify right side
    83,191.43x = 18,268,538,158.84
  5. Step 5: Solve for x
    x = 18,268,538,158.84/83,191.43
  6. Step 6: Final answer
    x = 219,596.40

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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.