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Finding the Third Proportional to 101,838 and 221,748

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Solution

The third proportional to 101,838 and 221,748 is: 482,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,838 : 221,748 = 221,748 : x
  2. Step 2: Convert to fraction form
    101,838/221,748 = 221,748/x
  3. Step 3: Cross multiply
    101,838x = 221,748 × 221,748
  4. Step 4: Simplify right side
    101,838x = 49,172,175,504
  5. Step 5: Solve for x
    x = 49,172,175,504/101,838
  6. Step 6: Final answer
    x = 482,847.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.