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Finding the Third Proportional to 122,050,139 and 184,210,193

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Solution

The third proportional to 122,050,139 and 184,210,193 is: 278,028,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,050,139 : 184,210,193 = 184,210,193 : x
  2. Step 2: Convert to fraction form
    122,050,139/184,210,193 = 184,210,193/x
  3. Step 3: Cross multiply
    122,050,139x = 184,210,193 × 184,210,193
  4. Step 4: Simplify right side
    122,050,139x = 33,933,395,205,097,248
  5. Step 5: Solve for x
    x = 33,933,395,205,097,248/122,050,139
  6. Step 6: Final answer
    x = 278,028,320.85

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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.