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Finding the Third Proportional to 46,449 and 101,286

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Solution

The third proportional to 46,449 and 101,286 is: 220,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,449 : 101,286 = 101,286 : x
  2. Step 2: Convert to fraction form
    46,449/101,286 = 101,286/x
  3. Step 3: Cross multiply
    46,449x = 101,286 × 101,286
  4. Step 4: Simplify right side
    46,449x = 10,258,853,796
  5. Step 5: Solve for x
    x = 10,258,853,796/46,449
  6. Step 6: Final answer
    x = 220,862.75

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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.