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Finding the Third Proportional to 91,736 and 191,794

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Solution

The third proportional to 91,736 and 191,794 is: 400,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,736 : 191,794 = 191,794 : x
  2. Step 2: Convert to fraction form
    91,736/191,794 = 191,794/x
  3. Step 3: Cross multiply
    91,736x = 191,794 × 191,794
  4. Step 4: Simplify right side
    91,736x = 36,784,938,436
  5. Step 5: Solve for x
    x = 36,784,938,436/91,736
  6. Step 6: Final answer
    x = 400,986.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.