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Finding the Third Proportional to 92,631 and 191,814

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Solution

The third proportional to 92,631 and 191,814 is: 397,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,631 : 191,814 = 191,814 : x
  2. Step 2: Convert to fraction form
    92,631/191,814 = 191,814/x
  3. Step 3: Cross multiply
    92,631x = 191,814 × 191,814
  4. Step 4: Simplify right side
    92,631x = 36,792,610,596
  5. Step 5: Solve for x
    x = 36,792,610,596/92,631
  6. Step 6: Final answer
    x = 397,195.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.