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Finding the Third Proportional to 91,814 and 194,653

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Solution

The third proportional to 91,814 and 194,653 is: 412,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,814 : 194,653 = 194,653 : x
  2. Step 2: Convert to fraction form
    91,814/194,653 = 194,653/x
  3. Step 3: Cross multiply
    91,814x = 194,653 × 194,653
  4. Step 4: Simplify right side
    91,814x = 37,889,790,409
  5. Step 5: Solve for x
    x = 37,889,790,409/91,814
  6. Step 6: Final answer
    x = 412,679.88

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Why These Related Problems?

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