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Finding the Third Proportional to 47,191.36 and 91,990.69

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Solution

The third proportional to 47,191.36 and 91,990.69 is: 179,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,191.36 : 91,990.69 = 91,990.69 : x
  2. Step 2: Convert to fraction form
    47,191.36/91,990.69 = 91,990.69/x
  3. Step 3: Cross multiply
    47,191.36x = 91,990.69 × 91,990.69
  4. Step 4: Simplify right side
    47,191.36x = 8,462,286,586.72
  5. Step 5: Solve for x
    x = 8,462,286,586.72/47,191.36
  6. Step 6: Final answer
    x = 179,318.56

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.