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Finding the Third Proportional to 50,436 and 100,881

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Solution

The third proportional to 50,436 and 100,881 is: 201,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,436 : 100,881 = 100,881 : x
  2. Step 2: Convert to fraction form
    50,436/100,881 = 100,881/x
  3. Step 3: Cross multiply
    50,436x = 100,881 × 100,881
  4. Step 4: Simplify right side
    50,436x = 10,176,976,161
  5. Step 5: Solve for x
    x = 10,176,976,161/50,436
  6. Step 6: Final answer
    x = 201,780.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.