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Finding the Third Proportional to 88,924.50 and 192,611.25

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Solution

The third proportional to 88,924.50 and 192,611.25 is: 417,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,924.50 : 192,611.25 = 192,611.25 : x
  2. Step 2: Convert to fraction form
    88,924.50/192,611.25 = 192,611.25/x
  3. Step 3: Cross multiply
    88,924.50x = 192,611.25 × 192,611.25
  4. Step 4: Simplify right side
    88,924.50x = 37,099,093,626.56
  5. Step 5: Solve for x
    x = 37,099,093,626.56/88,924.50
  6. Step 6: Final answer
    x = 417,197.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.