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Finding the Third Proportional to 92,964.50 and 191,431

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Solution

The third proportional to 92,964.50 and 191,431 is: 394,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,964.50 : 191,431 = 191,431 : x
  2. Step 2: Convert to fraction form
    92,964.50/191,431 = 191,431/x
  3. Step 3: Cross multiply
    92,964.50x = 191,431 × 191,431
  4. Step 4: Simplify right side
    92,964.50x = 36,645,827,761
  5. Step 5: Solve for x
    x = 36,645,827,761/92,964.50
  6. Step 6: Final answer
    x = 394,191.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.