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Finding the Third Proportional to 75,940,380 and 165,680,395

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Solution

The third proportional to 75,940,380 and 165,680,395 is: 361,467,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,940,380 : 165,680,395 = 165,680,395 : x
  2. Step 2: Convert to fraction form
    75,940,380/165,680,395 = 165,680,395/x
  3. Step 3: Cross multiply
    75,940,380x = 165,680,395 × 165,680,395
  4. Step 4: Simplify right side
    75,940,380x = 27,449,993,287,356,024
  5. Step 5: Solve for x
    x = 27,449,993,287,356,024/75,940,380
  6. Step 6: Final answer
    x = 361,467,684.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.