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Finding the Third Proportional to 99,596.25 and 150,228

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Solution

The third proportional to 99,596.25 and 150,228 is: 226,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,596.25 : 150,228 = 150,228 : x
  2. Step 2: Convert to fraction form
    99,596.25/150,228 = 150,228/x
  3. Step 3: Cross multiply
    99,596.25x = 150,228 × 150,228
  4. Step 4: Simplify right side
    99,596.25x = 22,568,451,984
  5. Step 5: Solve for x
    x = 22,568,451,984/99,596.25
  6. Step 6: Final answer
    x = 226,599.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.