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Finding the Third Proportional to 92,986 and 190,916

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Solution

The third proportional to 92,986 and 190,916 is: 391,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,986 : 190,916 = 190,916 : x
  2. Step 2: Convert to fraction form
    92,986/190,916 = 190,916/x
  3. Step 3: Cross multiply
    92,986x = 190,916 × 190,916
  4. Step 4: Simplify right side
    92,986x = 36,448,919,056
  5. Step 5: Solve for x
    x = 36,448,919,056/92,986
  6. Step 6: Final answer
    x = 391,982.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.