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Finding the Third Proportional to 92,491 and 199,018

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Solution

The third proportional to 92,491 and 199,018 is: 428,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,491 : 199,018 = 199,018 : x
  2. Step 2: Convert to fraction form
    92,491/199,018 = 199,018/x
  3. Step 3: Cross multiply
    92,491x = 199,018 × 199,018
  4. Step 4: Simplify right side
    92,491x = 39,608,164,324
  5. Step 5: Solve for x
    x = 39,608,164,324/92,491
  6. Step 6: Final answer
    x = 428,238.04

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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.