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Finding the Third Proportional to 84,325,682 and 195,195,329

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Solution

The third proportional to 84,325,682 and 195,195,329 is: 451,834,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,325,682 : 195,195,329 = 195,195,329 : x
  2. Step 2: Convert to fraction form
    84,325,682/195,195,329 = 195,195,329/x
  3. Step 3: Cross multiply
    84,325,682x = 195,195,329 × 195,195,329
  4. Step 4: Simplify right side
    84,325,682x = 38,101,216,463,418,240
  5. Step 5: Solve for x
    x = 38,101,216,463,418,240/84,325,682
  6. Step 6: Final answer
    x = 451,834,074.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.