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Finding the Third Proportional to 86,286.94 and 188,262.56

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Solution

The third proportional to 86,286.94 and 188,262.56 is: 410,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,286.94 : 188,262.56 = 188,262.56 : x
  2. Step 2: Convert to fraction form
    86,286.94/188,262.56 = 188,262.56/x
  3. Step 3: Cross multiply
    86,286.94x = 188,262.56 × 188,262.56
  4. Step 4: Simplify right side
    86,286.94x = 35,442,792,439.07
  5. Step 5: Solve for x
    x = 35,442,792,439.07/86,286.94
  6. Step 6: Final answer
    x = 410,755.02

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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.