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Finding the Third Proportional to 89,739 and 194,337

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Solution

The third proportional to 89,739 and 194,337 is: 420,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,739 : 194,337 = 194,337 : x
  2. Step 2: Convert to fraction form
    89,739/194,337 = 194,337/x
  3. Step 3: Cross multiply
    89,739x = 194,337 × 194,337
  4. Step 4: Simplify right side
    89,739x = 37,766,869,569
  5. Step 5: Solve for x
    x = 37,766,869,569/89,739
  6. Step 6: Final answer
    x = 420,852.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.