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Finding the Third Proportional to 86,796.56 and 176,007.94

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Solution

The third proportional to 86,796.56 and 176,007.94 is: 356,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,796.56 : 176,007.94 = 176,007.94 : x
  2. Step 2: Convert to fraction form
    86,796.56/176,007.94 = 176,007.94/x
  3. Step 3: Cross multiply
    86,796.56x = 176,007.94 × 176,007.94
  4. Step 4: Simplify right side
    86,796.56x = 30,978,794,063.00
  5. Step 5: Solve for x
    x = 30,978,794,063.00/86,796.56
  6. Step 6: Final answer
    x = 356,912.68

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.