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Finding the Third Proportional to 83,086.13 and 181,209.75

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Solution

The third proportional to 83,086.13 and 181,209.75 is: 395,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,086.13 : 181,209.75 = 181,209.75 : x
  2. Step 2: Convert to fraction form
    83,086.13/181,209.75 = 181,209.75/x
  3. Step 3: Cross multiply
    83,086.13x = 181,209.75 × 181,209.75
  4. Step 4: Simplify right side
    83,086.13x = 32,836,973,495.06
  5. Step 5: Solve for x
    x = 32,836,973,495.06/83,086.13
  6. Step 6: Final answer
    x = 395,216.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.