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Finding the Third Proportional to 81,192.38 and 177,101.44

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Solution

The third proportional to 81,192.38 and 177,101.44 is: 386,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,192.38 : 177,101.44 = 177,101.44 : x
  2. Step 2: Convert to fraction form
    81,192.38/177,101.44 = 177,101.44/x
  3. Step 3: Cross multiply
    81,192.38x = 177,101.44 × 177,101.44
  4. Step 4: Simplify right side
    81,192.38x = 31,364,919,164.57
  5. Step 5: Solve for x
    x = 31,364,919,164.57/81,192.38
  6. Step 6: Final answer
    x = 386,303.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.