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Finding the Third Proportional to 101,269 and 221,599

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Solution

The third proportional to 101,269 and 221,599 is: 484,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,269 : 221,599 = 221,599 : x
  2. Step 2: Convert to fraction form
    101,269/221,599 = 221,599/x
  3. Step 3: Cross multiply
    101,269x = 221,599 × 221,599
  4. Step 4: Simplify right side
    101,269x = 49,106,116,801
  5. Step 5: Solve for x
    x = 49,106,116,801/101,269
  6. Step 6: Final answer
    x = 484,907.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.