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Finding the Third Proportional to 91,738 and 193,450

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Solution

The third proportional to 91,738 and 193,450 is: 407,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,738 : 193,450 = 193,450 : x
  2. Step 2: Convert to fraction form
    91,738/193,450 = 193,450/x
  3. Step 3: Cross multiply
    91,738x = 193,450 × 193,450
  4. Step 4: Simplify right side
    91,738x = 37,422,902,500
  5. Step 5: Solve for x
    x = 37,422,902,500/91,738
  6. Step 6: Final answer
    x = 407,932.40

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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.