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Finding the Third Proportional to 95,018 and 200,764

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Solution

The third proportional to 95,018 and 200,764 is: 424,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,018 : 200,764 = 200,764 : x
  2. Step 2: Convert to fraction form
    95,018/200,764 = 200,764/x
  3. Step 3: Cross multiply
    95,018x = 200,764 × 200,764
  4. Step 4: Simplify right side
    95,018x = 40,306,183,696
  5. Step 5: Solve for x
    x = 40,306,183,696/95,018
  6. Step 6: Final answer
    x = 424,195.24

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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.