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Finding the Third Proportional to 195,099,900 and 265,738,005

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Solution

The third proportional to 195,099,900 and 265,738,005 is: 361,951,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,099,900 : 265,738,005 = 265,738,005 : x
  2. Step 2: Convert to fraction form
    195,099,900/265,738,005 = 265,738,005/x
  3. Step 3: Cross multiply
    195,099,900x = 265,738,005 × 265,738,005
  4. Step 4: Simplify right side
    195,099,900x = 70,616,687,301,380,024
  5. Step 5: Solve for x
    x = 70,616,687,301,380,024/195,099,900
  6. Step 6: Final answer
    x = 361,951,427.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.