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Finding the Third Proportional to 162,352,956,096 and 248,381,844,192

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Solution

The third proportional to 162,352,956,096 and 248,381,844,192 is: 379,996,410,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,352,956,096 : 248,381,844,192 = 248,381,844,192 : x
  2. Step 2: Convert to fraction form
    162,352,956,096/248,381,844,192 = 248,381,844,192/x
  3. Step 3: Cross multiply
    162,352,956,096x = 248,381,844,192 × 248,381,844,192
  4. Step 4: Simplify right side
    162,352,956,096x = 61,693,540,524,218,961,100,800
  5. Step 5: Solve for x
    x = 61,693,540,524,218,961,100,800/162,352,956,096
  6. Step 6: Final answer
    x = 379,996,410,337.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.