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Finding the Third Proportional to 75,970,260 and 154,625,436

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Solution

The third proportional to 75,970,260 and 154,625,436 is: 314,715,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,970,260 : 154,625,436 = 154,625,436 : x
  2. Step 2: Convert to fraction form
    75,970,260/154,625,436 = 154,625,436/x
  3. Step 3: Cross multiply
    75,970,260x = 154,625,436 × 154,625,436
  4. Step 4: Simplify right side
    75,970,260x = 23,909,025,458,190,096
  5. Step 5: Solve for x
    x = 23,909,025,458,190,096/75,970,260
  6. Step 6: Final answer
    x = 314,715,593.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.