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Finding the Third Proportional to 89,764.50 and 191,193

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Solution

The third proportional to 89,764.50 and 191,193 is: 407,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,764.50 : 191,193 = 191,193 : x
  2. Step 2: Convert to fraction form
    89,764.50/191,193 = 191,193/x
  3. Step 3: Cross multiply
    89,764.50x = 191,193 × 191,193
  4. Step 4: Simplify right side
    89,764.50x = 36,554,763,249
  5. Step 5: Solve for x
    x = 36,554,763,249/89,764.50
  6. Step 6: Final answer
    x = 407,229.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.