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Finding the Third Proportional to 90,157.50 and 192,822.75

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Solution

The third proportional to 90,157.50 and 192,822.75 is: 412,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,157.50 : 192,822.75 = 192,822.75 : x
  2. Step 2: Convert to fraction form
    90,157.50/192,822.75 = 192,822.75/x
  3. Step 3: Cross multiply
    90,157.50x = 192,822.75 × 192,822.75
  4. Step 4: Simplify right side
    90,157.50x = 37,180,612,917.56
  5. Step 5: Solve for x
    x = 37,180,612,917.56/90,157.50
  6. Step 6: Final answer
    x = 412,396.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.