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Finding the Third Proportional to 101,936 and 216,994

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Solution

The third proportional to 101,936 and 216,994 is: 461,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,936 : 216,994 = 216,994 : x
  2. Step 2: Convert to fraction form
    101,936/216,994 = 216,994/x
  3. Step 3: Cross multiply
    101,936x = 216,994 × 216,994
  4. Step 4: Simplify right side
    101,936x = 47,086,396,036
  5. Step 5: Solve for x
    x = 47,086,396,036/101,936
  6. Step 6: Final answer
    x = 461,921.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.