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Finding the Third Proportional to 101,974 and 218,714

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Solution

The third proportional to 101,974 and 218,714 is: 469,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,974 : 218,714 = 218,714 : x
  2. Step 2: Convert to fraction form
    101,974/218,714 = 218,714/x
  3. Step 3: Cross multiply
    101,974x = 218,714 × 218,714
  4. Step 4: Simplify right side
    101,974x = 47,835,813,796
  5. Step 5: Solve for x
    x = 47,835,813,796/101,974
  6. Step 6: Final answer
    x = 469,098.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.