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Finding the Third Proportional to 99,786.75 and 149,286.75

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Solution

The third proportional to 99,786.75 and 149,286.75 is: 223,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,786.75 : 149,286.75 = 149,286.75 : x
  2. Step 2: Convert to fraction form
    99,786.75/149,286.75 = 149,286.75/x
  3. Step 3: Cross multiply
    99,786.75x = 149,286.75 × 149,286.75
  4. Step 4: Simplify right side
    99,786.75x = 22,286,533,725.56
  5. Step 5: Solve for x
    x = 22,286,533,725.56/99,786.75
  6. Step 6: Final answer
    x = 223,341.61

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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.