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Finding the Third Proportional to 180,605,956 and 395,716,211

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Solution

The third proportional to 180,605,956 and 395,716,211 is: 867,032,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,605,956 : 395,716,211 = 395,716,211 : x
  2. Step 2: Convert to fraction form
    180,605,956/395,716,211 = 395,716,211/x
  3. Step 3: Cross multiply
    180,605,956x = 395,716,211 × 395,716,211
  4. Step 4: Simplify right side
    180,605,956x = 156,591,319,648,196,512
  5. Step 5: Solve for x
    x = 156,591,319,648,196,512/180,605,956
  6. Step 6: Final answer
    x = 867,032,976.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.