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Finding the Third Proportional to 122,149,096 and 252,801,247

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Solution

The third proportional to 122,149,096 and 252,801,247 is: 523,200,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,149,096 : 252,801,247 = 252,801,247 : x
  2. Step 2: Convert to fraction form
    122,149,096/252,801,247 = 252,801,247/x
  3. Step 3: Cross multiply
    122,149,096x = 252,801,247 × 252,801,247
  4. Step 4: Simplify right side
    122,149,096x = 63,908,470,484,755,008
  5. Step 5: Solve for x
    x = 63,908,470,484,755,008/122,149,096
  6. Step 6: Final answer
    x = 523,200,519.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.