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Finding the Third Proportional to 188,203,563 and 407,673,571

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Solution

The third proportional to 188,203,563 and 407,673,571 is: 883,074,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,203,563 : 407,673,571 = 407,673,571 : x
  2. Step 2: Convert to fraction form
    188,203,563/407,673,571 = 407,673,571/x
  3. Step 3: Cross multiply
    188,203,563x = 407,673,571 × 407,673,571
  4. Step 4: Simplify right side
    188,203,563x = 166,197,740,491,892,032
  5. Step 5: Solve for x
    x = 166,197,740,491,892,032/188,203,563
  6. Step 6: Final answer
    x = 883,074,357.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.