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Finding the Third Proportional to 99,811.50 and 150,122.25

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Solution

The third proportional to 99,811.50 and 150,122.25 is: 225,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,811.50 : 150,122.25 = 150,122.25 : x
  2. Step 2: Convert to fraction form
    99,811.50/150,122.25 = 150,122.25/x
  3. Step 3: Cross multiply
    99,811.50x = 150,122.25 × 150,122.25
  4. Step 4: Simplify right side
    99,811.50x = 22,536,689,945.06
  5. Step 5: Solve for x
    x = 22,536,689,945.06/99,811.50
  6. Step 6: Final answer
    x = 225,792.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.