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Finding the Third Proportional to 101,865 and 221,441

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Solution

The third proportional to 101,865 and 221,441 is: 481,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,865 : 221,441 = 221,441 : x
  2. Step 2: Convert to fraction form
    101,865/221,441 = 221,441/x
  3. Step 3: Cross multiply
    101,865x = 221,441 × 221,441
  4. Step 4: Simplify right side
    101,865x = 49,036,116,481
  5. Step 5: Solve for x
    x = 49,036,116,481/101,865
  6. Step 6: Final answer
    x = 481,383.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.