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Finding the Third Proportional to 50,498 and 106,218

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Solution

The third proportional to 50,498 and 106,218 is: 223,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498 : 106,218 = 106,218 : x
  2. Step 2: Convert to fraction form
    50,498/106,218 = 106,218/x
  3. Step 3: Cross multiply
    50,498x = 106,218 × 106,218
  4. Step 4: Simplify right side
    50,498x = 11,282,263,524
  5. Step 5: Solve for x
    x = 11,282,263,524/50,498
  6. Step 6: Final answer
    x = 223,420.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.