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Finding the Third Proportional to 101,804 and 218,676

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Solution

The third proportional to 101,804 and 218,676 is: 469,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,804 : 218,676 = 218,676 : x
  2. Step 2: Convert to fraction form
    101,804/218,676 = 218,676/x
  3. Step 3: Cross multiply
    101,804x = 218,676 × 218,676
  4. Step 4: Simplify right side
    101,804x = 47,819,192,976
  5. Step 5: Solve for x
    x = 47,819,192,976/101,804
  6. Step 6: Final answer
    x = 469,718.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.