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Finding the Third Proportional to 87,392.25 and 191,916

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Solution

The third proportional to 87,392.25 and 191,916 is: 421,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,392.25 : 191,916 = 191,916 : x
  2. Step 2: Convert to fraction form
    87,392.25/191,916 = 191,916/x
  3. Step 3: Cross multiply
    87,392.25x = 191,916 × 191,916
  4. Step 4: Simplify right side
    87,392.25x = 36,831,751,056
  5. Step 5: Solve for x
    x = 36,831,751,056/87,392.25
  6. Step 6: Final answer
    x = 421,453.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.