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Finding the Third Proportional to 91,865.39 and 192,151.30

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Solution

The third proportional to 91,865.39 and 192,151.30 is: 401,915.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,865.39 : 192,151.30 = 192,151.30 : x
  2. Step 2: Convert to fraction form
    91,865.39/192,151.30 = 192,151.30/x
  3. Step 3: Cross multiply
    91,865.39x = 192,151.30 × 192,151.30
  4. Step 4: Simplify right side
    91,865.39x = 36,922,122,391.93
  5. Step 5: Solve for x
    x = 36,922,122,391.93/91,865.39
  6. Step 6: Final answer
    x = 401,915.48

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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.