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Finding the Third Proportional to 51,185.67 and 110,694.09

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Solution

The third proportional to 51,185.67 and 110,694.09 is: 239,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,185.67 : 110,694.09 = 110,694.09 : x
  2. Step 2: Convert to fraction form
    51,185.67/110,694.09 = 110,694.09/x
  3. Step 3: Cross multiply
    51,185.67x = 110,694.09 × 110,694.09
  4. Step 4: Simplify right side
    51,185.67x = 12,253,182,391.13
  5. Step 5: Solve for x
    x = 12,253,182,391.13/51,185.67
  6. Step 6: Final answer
    x = 239,386.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.