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Finding the Third Proportional to 92,461.50 and 188,811

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Solution

The third proportional to 92,461.50 and 188,811 is: 385,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,461.50 : 188,811 = 188,811 : x
  2. Step 2: Convert to fraction form
    92,461.50/188,811 = 188,811/x
  3. Step 3: Cross multiply
    92,461.50x = 188,811 × 188,811
  4. Step 4: Simplify right side
    92,461.50x = 35,649,593,721
  5. Step 5: Solve for x
    x = 35,649,593,721/92,461.50
  6. Step 6: Final answer
    x = 385,561.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.