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Finding the Third Proportional to 99,811.50 and 150,756.75

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Solution

The third proportional to 99,811.50 and 150,756.75 is: 227,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,811.50 : 150,756.75 = 150,756.75 : x
  2. Step 2: Convert to fraction form
    99,811.50/150,756.75 = 150,756.75/x
  3. Step 3: Cross multiply
    99,811.50x = 150,756.75 × 150,756.75
  4. Step 4: Simplify right side
    99,811.50x = 22,727,597,670.56
  5. Step 5: Solve for x
    x = 22,727,597,670.56/99,811.50
  6. Step 6: Final answer
    x = 227,705.20

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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.