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Finding the Third Proportional to 83,595.38 and 182,742.75

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Solution

The third proportional to 83,595.38 and 182,742.75 is: 399,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,595.38 : 182,742.75 = 182,742.75 : x
  2. Step 2: Convert to fraction form
    83,595.38/182,742.75 = 182,742.75/x
  3. Step 3: Cross multiply
    83,595.38x = 182,742.75 × 182,742.75
  4. Step 4: Simplify right side
    83,595.38x = 33,394,912,677.56
  5. Step 5: Solve for x
    x = 33,394,912,677.56/83,595.38
  6. Step 6: Final answer
    x = 399,482.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.