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Finding the Third Proportional to 94,714 and 204,186

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Solution

The third proportional to 94,714 and 204,186 is: 440,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,714 : 204,186 = 204,186 : x
  2. Step 2: Convert to fraction form
    94,714/204,186 = 204,186/x
  3. Step 3: Cross multiply
    94,714x = 204,186 × 204,186
  4. Step 4: Simplify right side
    94,714x = 41,691,922,596
  5. Step 5: Solve for x
    x = 41,691,922,596/94,714
  6. Step 6: Final answer
    x = 440,187.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.