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Finding the Third Proportional to 86,781.38 and 175,977.56

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Solution

The third proportional to 86,781.38 and 175,977.56 is: 356,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,781.38 : 175,977.56 = 175,977.56 : x
  2. Step 2: Convert to fraction form
    86,781.38/175,977.56 = 175,977.56/x
  3. Step 3: Cross multiply
    86,781.38x = 175,977.56 × 175,977.56
  4. Step 4: Simplify right side
    86,781.38x = 30,968,102,503.44
  5. Step 5: Solve for x
    x = 30,968,102,503.44/86,781.38
  6. Step 6: Final answer
    x = 356,851.95

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Why These Related Problems?

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