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Finding the Third Proportional to 91,738 and 193,423

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Solution

The third proportional to 91,738 and 193,423 is: 407,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,738 : 193,423 = 193,423 : x
  2. Step 2: Convert to fraction form
    91,738/193,423 = 193,423/x
  3. Step 3: Cross multiply
    91,738x = 193,423 × 193,423
  4. Step 4: Simplify right side
    91,738x = 37,412,456,929
  5. Step 5: Solve for x
    x = 37,412,456,929/91,738
  6. Step 6: Final answer
    x = 407,818.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.