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Finding the Third Proportional to 90,549 and 199,026

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Solution

The third proportional to 90,549 and 199,026 is: 437,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,549 : 199,026 = 199,026 : x
  2. Step 2: Convert to fraction form
    90,549/199,026 = 199,026/x
  3. Step 3: Cross multiply
    90,549x = 199,026 × 199,026
  4. Step 4: Simplify right side
    90,549x = 39,611,348,676
  5. Step 5: Solve for x
    x = 39,611,348,676/90,549
  6. Step 6: Final answer
    x = 437,457.61

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Why These Related Problems?

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