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Finding the Third Proportional to 86,538 and 187,836.75

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Solution

The third proportional to 86,538 and 187,836.75 is: 407,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,538 : 187,836.75 = 187,836.75 : x
  2. Step 2: Convert to fraction form
    86,538/187,836.75 = 187,836.75/x
  3. Step 3: Cross multiply
    86,538x = 187,836.75 × 187,836.75
  4. Step 4: Simplify right side
    86,538x = 35,282,644,650.56
  5. Step 5: Solve for x
    x = 35,282,644,650.56/86,538
  6. Step 6: Final answer
    x = 407,712.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.