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Finding the Third Proportional to 41,446 and 89,444

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Solution

The third proportional to 41,446 and 89,444 is: 193,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,446 : 89,444 = 89,444 : x
  2. Step 2: Convert to fraction form
    41,446/89,444 = 89,444/x
  3. Step 3: Cross multiply
    41,446x = 89,444 × 89,444
  4. Step 4: Simplify right side
    41,446x = 8,000,229,136
  5. Step 5: Solve for x
    x = 8,000,229,136/41,446
  6. Step 6: Final answer
    x = 193,027.77

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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.