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Finding the Third Proportional to 84,910 and 191,717

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Solution

The third proportional to 84,910 and 191,717 is: 432,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,910 : 191,717 = 191,717 : x
  2. Step 2: Convert to fraction form
    84,910/191,717 = 191,717/x
  3. Step 3: Cross multiply
    84,910x = 191,717 × 191,717
  4. Step 4: Simplify right side
    84,910x = 36,755,408,089
  5. Step 5: Solve for x
    x = 36,755,408,089/84,910
  6. Step 6: Final answer
    x = 432,874.90

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.