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Finding the Third Proportional to 50,219.84 and 68,204.93

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Solution

The third proportional to 50,219.84 and 68,204.93 is: 92,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,219.84 : 68,204.93 = 68,204.93 : x
  2. Step 2: Convert to fraction form
    50,219.84/68,204.93 = 68,204.93/x
  3. Step 3: Cross multiply
    50,219.84x = 68,204.93 × 68,204.93
  4. Step 4: Simplify right side
    50,219.84x = 4,651,912,034.04
  5. Step 5: Solve for x
    x = 4,651,912,034.04/50,219.84
  6. Step 6: Final answer
    x = 92,630.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.