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Finding the Third Proportional to 46,344 and 99,675

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Solution

The third proportional to 46,344 and 99,675 is: 214,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,344 : 99,675 = 99,675 : x
  2. Step 2: Convert to fraction form
    46,344/99,675 = 99,675/x
  3. Step 3: Cross multiply
    46,344x = 99,675 × 99,675
  4. Step 4: Simplify right side
    46,344x = 9,935,105,625
  5. Step 5: Solve for x
    x = 9,935,105,625/46,344
  6. Step 6: Final answer
    x = 214,377.39

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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.