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Finding the Third Proportional to 80,646.38 and 182,103.75

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Solution

The third proportional to 80,646.38 and 182,103.75 is: 411,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,646.38 : 182,103.75 = 182,103.75 : x
  2. Step 2: Convert to fraction form
    80,646.38/182,103.75 = 182,103.75/x
  3. Step 3: Cross multiply
    80,646.38x = 182,103.75 × 182,103.75
  4. Step 4: Simplify right side
    80,646.38x = 33,161,775,764.06
  5. Step 5: Solve for x
    x = 33,161,775,764.06/80,646.38
  6. Step 6: Final answer
    x = 411,199.83

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.