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Finding the Third Proportional to 85,809.75 and 186,382.13

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Solution

The third proportional to 85,809.75 and 186,382.13 is: 404,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,809.75 : 186,382.13 = 186,382.13 : x
  2. Step 2: Convert to fraction form
    85,809.75/186,382.13 = 186,382.13/x
  3. Step 3: Cross multiply
    85,809.75x = 186,382.13 × 186,382.13
  4. Step 4: Simplify right side
    85,809.75x = 34,738,296,519.52
  5. Step 5: Solve for x
    x = 34,738,296,519.52/85,809.75
  6. Step 6: Final answer
    x = 404,829.25

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Why These Related Problems?

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