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Finding the Third Proportional to 40,904.25 and 89,199.75

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Solution

The third proportional to 40,904.25 and 89,199.75 is: 194,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,904.25 : 89,199.75 = 89,199.75 : x
  2. Step 2: Convert to fraction form
    40,904.25/89,199.75 = 89,199.75/x
  3. Step 3: Cross multiply
    40,904.25x = 89,199.75 × 89,199.75
  4. Step 4: Simplify right side
    40,904.25x = 7,956,595,400.06
  5. Step 5: Solve for x
    x = 7,956,595,400.06/40,904.25
  6. Step 6: Final answer
    x = 194,517.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.