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Finding the Third Proportional to 85,974.75 and 188,967.38

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Solution

The third proportional to 85,974.75 and 188,967.38 is: 415,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,974.75 : 188,967.38 = 188,967.38 : x
  2. Step 2: Convert to fraction form
    85,974.75/188,967.38 = 188,967.38/x
  3. Step 3: Cross multiply
    85,974.75x = 188,967.38 × 188,967.38
  4. Step 4: Simplify right side
    85,974.75x = 35,708,668,814.39
  5. Step 5: Solve for x
    x = 35,708,668,814.39/85,974.75
  6. Step 6: Final answer
    x = 415,339.02

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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.