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Finding the Third Proportional to 46,291 and 99,593

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Solution

The third proportional to 46,291 and 99,593 is: 214,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,291 : 99,593 = 99,593 : x
  2. Step 2: Convert to fraction form
    46,291/99,593 = 99,593/x
  3. Step 3: Cross multiply
    46,291x = 99,593 × 99,593
  4. Step 4: Simplify right side
    46,291x = 9,918,765,649
  5. Step 5: Solve for x
    x = 9,918,765,649/46,291
  6. Step 6: Final answer
    x = 214,269.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.