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Finding the Third Proportional to 83,037.66 and 182,682.84

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Solution

The third proportional to 83,037.66 and 182,682.84 is: 401,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,037.66 : 182,682.84 = 182,682.84 : x
  2. Step 2: Convert to fraction form
    83,037.66/182,682.84 = 182,682.84/x
  3. Step 3: Cross multiply
    83,037.66x = 182,682.84 × 182,682.84
  4. Step 4: Simplify right side
    83,037.66x = 33,373,021,400.59
  5. Step 5: Solve for x
    x = 33,373,021,400.59/83,037.66
  6. Step 6: Final answer
    x = 401,902.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.