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Finding the Third Proportional to 188,186,213.25 and 391,837,496.63

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Solution

The third proportional to 188,186,213.25 and 391,837,496.63 is: 815,876,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,186,213.25 : 391,837,496.63 = 391,837,496.63 : x
  2. Step 2: Convert to fraction form
    188,186,213.25/391,837,496.63 = 391,837,496.63/x
  3. Step 3: Cross multiply
    188,186,213.25x = 391,837,496.63 × 391,837,496.63
  4. Step 4: Simplify right side
    188,186,213.25x = 153,536,623,761,346,880
  5. Step 5: Solve for x
    x = 153,536,623,761,346,880/188,186,213.25
  6. Step 6: Final answer
    x = 815,876,046.97

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.