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Finding the Third Proportional to 91,412 and 194,464

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Solution

The third proportional to 91,412 and 194,464 is: 413,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,412 : 194,464 = 194,464 : x
  2. Step 2: Convert to fraction form
    91,412/194,464 = 194,464/x
  3. Step 3: Cross multiply
    91,412x = 194,464 × 194,464
  4. Step 4: Simplify right side
    91,412x = 37,816,247,296
  5. Step 5: Solve for x
    x = 37,816,247,296/91,412
  6. Step 6: Final answer
    x = 413,690.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.