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Finding the Third Proportional to 92,963.50 and 191,429

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Solution

The third proportional to 92,963.50 and 191,429 is: 394,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,963.50 : 191,429 = 191,429 : x
  2. Step 2: Convert to fraction form
    92,963.50/191,429 = 191,429/x
  3. Step 3: Cross multiply
    92,963.50x = 191,429 × 191,429
  4. Step 4: Simplify right side
    92,963.50x = 36,645,062,041
  5. Step 5: Solve for x
    x = 36,645,062,041/92,963.50
  6. Step 6: Final answer
    x = 394,187.63

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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.