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Finding the Third Proportional to 143,449,239,555 and 313,921,171,422

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Solution

The third proportional to 143,449,239,555 and 313,921,171,422 is: 686,978,210,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,449,239,555 : 313,921,171,422 = 313,921,171,422 : x
  2. Step 2: Convert to fraction form
    143,449,239,555/313,921,171,422 = 313,921,171,422/x
  3. Step 3: Cross multiply
    143,449,239,555x = 313,921,171,422 × 313,921,171,422
  4. Step 4: Simplify right side
    143,449,239,555x = 98,546,501,866,960,707,387,392
  5. Step 5: Solve for x
    x = 98,546,501,866,960,707,387,392/143,449,239,555
  6. Step 6: Final answer
    x = 686,978,210,359.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.