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Finding the Third Proportional to 90,763 and 199,443

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Solution

The third proportional to 90,763 and 199,443 is: 438,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,763 : 199,443 = 199,443 : x
  2. Step 2: Convert to fraction form
    90,763/199,443 = 199,443/x
  3. Step 3: Cross multiply
    90,763x = 199,443 × 199,443
  4. Step 4: Simplify right side
    90,763x = 39,777,510,249
  5. Step 5: Solve for x
    x = 39,777,510,249/90,763
  6. Step 6: Final answer
    x = 438,256.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.