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Finding the Third Proportional to 99,874 and 214,436

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Solution

The third proportional to 99,874 and 214,436 is: 460,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,874 : 214,436 = 214,436 : x
  2. Step 2: Convert to fraction form
    99,874/214,436 = 214,436/x
  3. Step 3: Cross multiply
    99,874x = 214,436 × 214,436
  4. Step 4: Simplify right side
    99,874x = 45,982,798,096
  5. Step 5: Solve for x
    x = 45,982,798,096/99,874
  6. Step 6: Final answer
    x = 460,408.10

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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.