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Finding the Third Proportional to 85,839.75 and 185,228.65

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Solution

The third proportional to 85,839.75 and 185,228.65 is: 399,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,839.75 : 185,228.65 = 185,228.65 : x
  2. Step 2: Convert to fraction form
    85,839.75/185,228.65 = 185,228.65/x
  3. Step 3: Cross multiply
    85,839.75x = 185,228.65 × 185,228.65
  4. Step 4: Simplify right side
    85,839.75x = 34,309,652,201.98
  5. Step 5: Solve for x
    x = 34,309,652,201.98/85,839.75
  6. Step 6: Final answer
    x = 399,694.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.