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Finding the Third Proportional to 99,825 and 150,777

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Solution

The third proportional to 99,825 and 150,777 is: 227,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,825 : 150,777 = 150,777 : x
  2. Step 2: Convert to fraction form
    99,825/150,777 = 150,777/x
  3. Step 3: Cross multiply
    99,825x = 150,777 × 150,777
  4. Step 4: Simplify right side
    99,825x = 22,733,703,729
  5. Step 5: Solve for x
    x = 22,733,703,729/99,825
  6. Step 6: Final answer
    x = 227,735.57

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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.