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Finding the Third Proportional to 88,134.75 and 186,822.56

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Solution

The third proportional to 88,134.75 and 186,822.56 is: 396,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,134.75 : 186,822.56 = 186,822.56 : x
  2. Step 2: Convert to fraction form
    88,134.75/186,822.56 = 186,822.56/x
  3. Step 3: Cross multiply
    88,134.75x = 186,822.56 × 186,822.56
  4. Step 4: Simplify right side
    88,134.75x = 34,902,669,859.07
  5. Step 5: Solve for x
    x = 34,902,669,859.07/88,134.75
  6. Step 6: Final answer
    x = 396,014.85

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