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Finding the Third Proportional to 85,105.13 and 183,340.13

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Solution

The third proportional to 85,105.13 and 183,340.13 is: 394,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,105.13 : 183,340.13 = 183,340.13 : x
  2. Step 2: Convert to fraction form
    85,105.13/183,340.13 = 183,340.13/x
  3. Step 3: Cross multiply
    85,105.13x = 183,340.13 × 183,340.13
  4. Step 4: Simplify right side
    85,105.13x = 33,613,601,435.02
  5. Step 5: Solve for x
    x = 33,613,601,435.02/85,105.13
  6. Step 6: Final answer
    x = 394,965.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.