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Finding the Third Proportional to 86,980.13 and 185,350.88

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Solution

The third proportional to 86,980.13 and 185,350.88 is: 394,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,980.13 : 185,350.88 = 185,350.88 : x
  2. Step 2: Convert to fraction form
    86,980.13/185,350.88 = 185,350.88/x
  3. Step 3: Cross multiply
    86,980.13x = 185,350.88 × 185,350.88
  4. Step 4: Simplify right side
    86,980.13x = 34,354,946,863.27
  5. Step 5: Solve for x
    x = 34,354,946,863.27/86,980.13
  6. Step 6: Final answer
    x = 394,974.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.