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Finding the Third Proportional to 95,017 and 200,714

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Solution

The third proportional to 95,017 and 200,714 is: 423,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,017 : 200,714 = 200,714 : x
  2. Step 2: Convert to fraction form
    95,017/200,714 = 200,714/x
  3. Step 3: Cross multiply
    95,017x = 200,714 × 200,714
  4. Step 4: Simplify right side
    95,017x = 40,286,109,796
  5. Step 5: Solve for x
    x = 40,286,109,796/95,017
  6. Step 6: Final answer
    x = 423,988.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.