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Finding the Third Proportional to 122,049,822 and 184,209,756

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Solution

The third proportional to 122,049,822 and 184,209,756 is: 278,027,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,049,822 : 184,209,756 = 184,209,756 : x
  2. Step 2: Convert to fraction form
    122,049,822/184,209,756 = 184,209,756/x
  3. Step 3: Cross multiply
    122,049,822x = 184,209,756 × 184,209,756
  4. Step 4: Simplify right side
    122,049,822x = 33,933,234,205,579,536
  5. Step 5: Solve for x
    x = 33,933,234,205,579,536/122,049,822
  6. Step 6: Final answer
    x = 278,027,723.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.