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Finding the Third Proportional to 94,777 and 204,242

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Solution

The third proportional to 94,777 and 204,242 is: 440,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,777 : 204,242 = 204,242 : x
  2. Step 2: Convert to fraction form
    94,777/204,242 = 204,242/x
  3. Step 3: Cross multiply
    94,777x = 204,242 × 204,242
  4. Step 4: Simplify right side
    94,777x = 41,714,794,564
  5. Step 5: Solve for x
    x = 41,714,794,564/94,777
  6. Step 6: Final answer
    x = 440,136.26

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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.