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Finding the Third Proportional to 85,383.56 and 183,682.69

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Solution

The third proportional to 85,383.56 and 183,682.69 is: 395,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,383.56 : 183,682.69 = 183,682.69 : x
  2. Step 2: Convert to fraction form
    85,383.56/183,682.69 = 183,682.69/x
  3. Step 3: Cross multiply
    85,383.56x = 183,682.69 × 183,682.69
  4. Step 4: Simplify right side
    85,383.56x = 33,739,329,687.22
  5. Step 5: Solve for x
    x = 33,739,329,687.22/85,383.56
  6. Step 6: Final answer
    x = 395,150.18

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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.