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Finding the Third Proportional to 100,396.13 and 133,845.75

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Solution

The third proportional to 100,396.13 and 133,845.75 is: 178,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,396.13 : 133,845.75 = 133,845.75 : x
  2. Step 2: Convert to fraction form
    100,396.13/133,845.75 = 133,845.75/x
  3. Step 3: Cross multiply
    100,396.13x = 133,845.75 × 133,845.75
  4. Step 4: Simplify right side
    100,396.13x = 17,914,684,793.06
  5. Step 5: Solve for x
    x = 17,914,684,793.06/100,396.13
  6. Step 6: Final answer
    x = 178,440.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.