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Finding the Third Proportional to 195,099,918 and 265,738,026

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Solution

The third proportional to 195,099,918 and 265,738,026 is: 361,951,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,099,918 : 265,738,026 = 265,738,026 : x
  2. Step 2: Convert to fraction form
    195,099,918/265,738,026 = 265,738,026/x
  3. Step 3: Cross multiply
    195,099,918x = 265,738,026 × 265,738,026
  4. Step 4: Simplify right side
    195,099,918x = 70,616,698,462,376,672
  5. Step 5: Solve for x
    x = 70,616,698,462,376,672/195,099,918
  6. Step 6: Final answer
    x = 361,951,451.27

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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.