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Finding the Third Proportional to 50,172,914 and 106,374,676

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Solution

The third proportional to 50,172,914 and 106,374,676 is: 225,531,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,172,914 : 106,374,676 = 106,374,676 : x
  2. Step 2: Convert to fraction form
    50,172,914/106,374,676 = 106,374,676/x
  3. Step 3: Cross multiply
    50,172,914x = 106,374,676 × 106,374,676
  4. Step 4: Simplify right side
    50,172,914x = 11,315,571,694,104,976
  5. Step 5: Solve for x
    x = 11,315,571,694,104,976/50,172,914
  6. Step 6: Final answer
    x = 225,531,482.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.