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Finding the Third Proportional to 101,736 and 221,692

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Solution

The third proportional to 101,736 and 221,692 is: 483,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,736 : 221,692 = 221,692 : x
  2. Step 2: Convert to fraction form
    101,736/221,692 = 221,692/x
  3. Step 3: Cross multiply
    101,736x = 221,692 × 221,692
  4. Step 4: Simplify right side
    101,736x = 49,147,342,864
  5. Step 5: Solve for x
    x = 49,147,342,864/101,736
  6. Step 6: Final answer
    x = 483,087.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.