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Finding the Third Proportional to 188,188,434 and 407,653,494.19

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Solution

The third proportional to 188,188,434 and 407,653,494.19 is: 883,058,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,188,434 : 407,653,494.19 = 407,653,494.19 : x
  2. Step 2: Convert to fraction form
    188,188,434/407,653,494.19 = 407,653,494.19/x
  3. Step 3: Cross multiply
    188,188,434x = 407,653,494.19 × 407,653,494.19
  4. Step 4: Simplify right side
    188,188,434x = 166,181,371,323,278,112
  5. Step 5: Solve for x
    x = 166,181,371,323,278,112/188,188,434
  6. Step 6: Final answer
    x = 883,058,367.57

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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.