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Finding the Third Proportional to 46,267 and 99,891

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Solution

The third proportional to 46,267 and 99,891 is: 215,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,267 : 99,891 = 99,891 : x
  2. Step 2: Convert to fraction form
    46,267/99,891 = 99,891/x
  3. Step 3: Cross multiply
    46,267x = 99,891 × 99,891
  4. Step 4: Simplify right side
    46,267x = 9,978,211,881
  5. Step 5: Solve for x
    x = 9,978,211,881/46,267
  6. Step 6: Final answer
    x = 215,665.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.