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Finding the Third Proportional to 283,049,694 and 605,448,198

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Solution

The third proportional to 283,049,694 and 605,448,198 is: 1,295,064,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,049,694 : 605,448,198 = 605,448,198 : x
  2. Step 2: Convert to fraction form
    283,049,694/605,448,198 = 605,448,198/x
  3. Step 3: Cross multiply
    283,049,694x = 605,448,198 × 605,448,198
  4. Step 4: Simplify right side
    283,049,694x = 366,567,520,461,447,232
  5. Step 5: Solve for x
    x = 366,567,520,461,447,232/283,049,694
  6. Step 6: Final answer
    x = 1,295,064,182.13

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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.