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Finding the Third Proportional to 91,718 and 194,476

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Solution

The third proportional to 91,718 and 194,476 is: 412,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,718 : 194,476 = 194,476 : x
  2. Step 2: Convert to fraction form
    91,718/194,476 = 194,476/x
  3. Step 3: Cross multiply
    91,718x = 194,476 × 194,476
  4. Step 4: Simplify right side
    91,718x = 37,820,914,576
  5. Step 5: Solve for x
    x = 37,820,914,576/91,718
  6. Step 6: Final answer
    x = 412,360.87

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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.