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Finding the Third Proportional to 92,296.97 and 190,999.27

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Solution

The third proportional to 92,296.97 and 190,999.27 is: 395,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,296.97 : 190,999.27 = 190,999.27 : x
  2. Step 2: Convert to fraction form
    92,296.97/190,999.27 = 190,999.27/x
  3. Step 3: Cross multiply
    92,296.97x = 190,999.27 × 190,999.27
  4. Step 4: Simplify right side
    92,296.97x = 36,480,719,469.29
  5. Step 5: Solve for x
    x = 36,480,719,469.29/92,296.97
  6. Step 6: Final answer
    x = 395,253.71

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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.