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Finding the Third Proportional to 99,477 and 150,660

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Solution

The third proportional to 99,477 and 150,660 is: 228,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,477 : 150,660 = 150,660 : x
  2. Step 2: Convert to fraction form
    99,477/150,660 = 150,660/x
  3. Step 3: Cross multiply
    99,477x = 150,660 × 150,660
  4. Step 4: Simplify right side
    99,477x = 22,698,435,600
  5. Step 5: Solve for x
    x = 22,698,435,600/99,477
  6. Step 6: Final answer
    x = 228,177.73

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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.