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Finding the Third Proportional to 43,096 and 90,404

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Solution

The third proportional to 43,096 and 90,404 is: 189,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,096 : 90,404 = 90,404 : x
  2. Step 2: Convert to fraction form
    43,096/90,404 = 90,404/x
  3. Step 3: Cross multiply
    43,096x = 90,404 × 90,404
  4. Step 4: Simplify right side
    43,096x = 8,172,883,216
  5. Step 5: Solve for x
    x = 8,172,883,216/43,096
  6. Step 6: Final answer
    x = 189,643.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.