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Finding the Third Proportional to 86,199.19 and 182,764.69

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Solution

The third proportional to 86,199.19 and 182,764.69 is: 387,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,199.19 : 182,764.69 = 182,764.69 : x
  2. Step 2: Convert to fraction form
    86,199.19/182,764.69 = 182,764.69/x
  3. Step 3: Cross multiply
    86,199.19x = 182,764.69 × 182,764.69
  4. Step 4: Simplify right side
    86,199.19x = 33,402,930,996.97
  5. Step 5: Solve for x
    x = 33,402,930,996.97/86,199.19
  6. Step 6: Final answer
    x = 387,508.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.