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Finding the Third Proportional to 122,049,846 and 184,209,763.50

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Solution

The third proportional to 122,049,846 and 184,209,763.50 is: 278,027,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,049,846 : 184,209,763.50 = 184,209,763.50 : x
  2. Step 2: Convert to fraction form
    122,049,846/184,209,763.50 = 184,209,763.50/x
  3. Step 3: Cross multiply
    122,049,846x = 184,209,763.50 × 184,209,763.50
  4. Step 4: Simplify right side
    122,049,846x = 33,933,236,968,725,932
  5. Step 5: Solve for x
    x = 33,933,236,968,725,932/122,049,846
  6. Step 6: Final answer
    x = 278,027,691.81

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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.