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Finding the Third Proportional to 80,837.63 and 166,863.75

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Solution

The third proportional to 80,837.63 and 166,863.75 is: 344,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,837.63 : 166,863.75 = 166,863.75 : x
  2. Step 2: Convert to fraction form
    80,837.63/166,863.75 = 166,863.75/x
  3. Step 3: Cross multiply
    80,837.63x = 166,863.75 × 166,863.75
  4. Step 4: Simplify right side
    80,837.63x = 27,843,511,064.06
  5. Step 5: Solve for x
    x = 27,843,511,064.06/80,837.63
  6. Step 6: Final answer
    x = 344,437.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.