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Finding the Third Proportional to 68,873,967 and 151,183,215

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Solution

The third proportional to 68,873,967 and 151,183,215 is: 331,857,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,873,967 : 151,183,215 = 151,183,215 : x
  2. Step 2: Convert to fraction form
    68,873,967/151,183,215 = 151,183,215/x
  3. Step 3: Cross multiply
    68,873,967x = 151,183,215 × 151,183,215
  4. Step 4: Simplify right side
    68,873,967x = 22,856,364,497,736,224
  5. Step 5: Solve for x
    x = 22,856,364,497,736,224/68,873,967
  6. Step 6: Final answer
    x = 331,857,819.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.