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Finding the Third Proportional to 251,748,002 and 388,802,163

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Solution

The third proportional to 251,748,002 and 388,802,163 is: 600,469,996.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,748,002 : 388,802,163 = 388,802,163 : x
  2. Step 2: Convert to fraction form
    251,748,002/388,802,163 = 388,802,163/x
  3. Step 3: Cross multiply
    251,748,002x = 388,802,163 × 388,802,163
  4. Step 4: Simplify right side
    251,748,002x = 151,167,121,953,478,560
  5. Step 5: Solve for x
    x = 151,167,121,953,478,560/251,748,002
  6. Step 6: Final answer
    x = 600,469,996.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.