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Finding the Third Proportional to 101,846 and 218,740

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Solution

The third proportional to 101,846 and 218,740 is: 469,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,846 : 218,740 = 218,740 : x
  2. Step 2: Convert to fraction form
    101,846/218,740 = 218,740/x
  3. Step 3: Cross multiply
    101,846x = 218,740 × 218,740
  4. Step 4: Simplify right side
    101,846x = 47,847,187,600
  5. Step 5: Solve for x
    x = 47,847,187,600/101,846
  6. Step 6: Final answer
    x = 469,799.38

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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.