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Finding the Third Proportional to 68,310,249 and 146,383,267

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Solution

The third proportional to 68,310,249 and 146,383,267 is: 313,687,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,310,249 : 146,383,267 = 146,383,267 : x
  2. Step 2: Convert to fraction form
    68,310,249/146,383,267 = 146,383,267/x
  3. Step 3: Cross multiply
    68,310,249x = 146,383,267 × 146,383,267
  4. Step 4: Simplify right side
    68,310,249x = 21,428,060,857,593,288
  5. Step 5: Solve for x
    x = 21,428,060,857,593,288/68,310,249
  6. Step 6: Final answer
    x = 313,687,348.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.