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Finding the Third Proportional to 68,716,235 and 148,192,267

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Solution

The third proportional to 68,716,235 and 148,192,267 is: 319,588,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,716,235 : 148,192,267 = 148,192,267 : x
  2. Step 2: Convert to fraction form
    68,716,235/148,192,267 = 148,192,267/x
  3. Step 3: Cross multiply
    68,716,235x = 148,192,267 × 148,192,267
  4. Step 4: Simplify right side
    68,716,235x = 21,960,947,998,599,288
  5. Step 5: Solve for x
    x = 21,960,947,998,599,288/68,716,235
  6. Step 6: Final answer
    x = 319,588,929.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.