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Finding the Third Proportional to 90,533 and 194,935

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Solution

The third proportional to 90,533 and 194,935 is: 419,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,533 : 194,935 = 194,935 : x
  2. Step 2: Convert to fraction form
    90,533/194,935 = 194,935/x
  3. Step 3: Cross multiply
    90,533x = 194,935 × 194,935
  4. Step 4: Simplify right side
    90,533x = 37,999,654,225
  5. Step 5: Solve for x
    x = 37,999,654,225/90,533
  6. Step 6: Final answer
    x = 419,732.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.