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Finding the Third Proportional to 43,797 and 99,286.50

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Solution

The third proportional to 43,797 and 99,286.50 is: 225,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,797 : 99,286.50 = 99,286.50 : x
  2. Step 2: Convert to fraction form
    43,797/99,286.50 = 99,286.50/x
  3. Step 3: Cross multiply
    43,797x = 99,286.50 × 99,286.50
  4. Step 4: Simplify right side
    43,797x = 9,857,809,082.25
  5. Step 5: Solve for x
    x = 9,857,809,082.25/43,797
  6. Step 6: Final answer
    x = 225,079.55

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.