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Finding the Third Proportional to 91,806.75 and 194,639.63

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Solution

The third proportional to 91,806.75 and 194,639.63 is: 412,655.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,806.75 : 194,639.63 = 194,639.63 : x
  2. Step 2: Convert to fraction form
    91,806.75/194,639.63 = 194,639.63/x
  3. Step 3: Cross multiply
    91,806.75x = 194,639.63 × 194,639.63
  4. Step 4: Simplify right side
    91,806.75x = 37,884,583,620.14
  5. Step 5: Solve for x
    x = 37,884,583,620.14/91,806.75
  6. Step 6: Final answer
    x = 412,655.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.