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Finding the Third Proportional to 91,816 and 194,657

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Solution

The third proportional to 91,816 and 194,657 is: 412,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,816 : 194,657 = 194,657 : x
  2. Step 2: Convert to fraction form
    91,816/194,657 = 194,657/x
  3. Step 3: Cross multiply
    91,816x = 194,657 × 194,657
  4. Step 4: Simplify right side
    91,816x = 37,891,347,649
  5. Step 5: Solve for x
    x = 37,891,347,649/91,816
  6. Step 6: Final answer
    x = 412,687.85

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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.