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Finding the Third Proportional to 99,527 and 218,734

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Solution

The third proportional to 99,527 and 218,734 is: 480,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,527 : 218,734 = 218,734 : x
  2. Step 2: Convert to fraction form
    99,527/218,734 = 218,734/x
  3. Step 3: Cross multiply
    99,527x = 218,734 × 218,734
  4. Step 4: Simplify right side
    99,527x = 47,844,562,756
  5. Step 5: Solve for x
    x = 47,844,562,756/99,527
  6. Step 6: Final answer
    x = 480,719.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.