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Finding the Third Proportional to 101,837 and 221,746

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Solution

The third proportional to 101,837 and 221,746 is: 482,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,837 : 221,746 = 221,746 : x
  2. Step 2: Convert to fraction form
    101,837/221,746 = 221,746/x
  3. Step 3: Cross multiply
    101,837x = 221,746 × 221,746
  4. Step 4: Simplify right side
    101,837x = 49,171,288,516
  5. Step 5: Solve for x
    x = 49,171,288,516/101,837
  6. Step 6: Final answer
    x = 482,843.06

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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.