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Finding the Third Proportional to 91,805 and 194,545

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Solution

The third proportional to 91,805 and 194,545 is: 412,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,805 : 194,545 = 194,545 : x
  2. Step 2: Convert to fraction form
    91,805/194,545 = 194,545/x
  3. Step 3: Cross multiply
    91,805x = 194,545 × 194,545
  4. Step 4: Simplify right side
    91,805x = 37,847,757,025
  5. Step 5: Solve for x
    x = 37,847,757,025/91,805
  6. Step 6: Final answer
    x = 412,262.48

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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.