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Finding the Third Proportional to 153,449,475 and 328,786,422

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Solution

The third proportional to 153,449,475 and 328,786,422 is: 704,469,736.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,449,475 : 328,786,422 = 328,786,422 : x
  2. Step 2: Convert to fraction form
    153,449,475/328,786,422 = 328,786,422/x
  3. Step 3: Cross multiply
    153,449,475x = 328,786,422 × 328,786,422
  4. Step 4: Simplify right side
    153,449,475x = 108,100,511,291,562,080
  5. Step 5: Solve for x
    x = 108,100,511,291,562,080/153,449,475
  6. Step 6: Final answer
    x = 704,469,736.97

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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.