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Finding the Third Proportional to 182,178,197,046.75 and 400,791,396,297.75

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Solution

The third proportional to 182,178,197,046.75 and 400,791,396,297.75 is: 881,739,670,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,178,197,046.75 : 400,791,396,297.75 = 400,791,396,297.75 : x
  2. Step 2: Convert to fraction form
    182,178,197,046.75/400,791,396,297.75 = 400,791,396,297.75/x
  3. Step 3: Cross multiply
    182,178,197,046.75x = 400,791,396,297.75 × 400,791,396,297.75
  4. Step 4: Simplify right side
    182,178,197,046.75x = 160,633,743,346,300,086,124,544
  5. Step 5: Solve for x
    x = 160,633,743,346,300,086,124,544/182,178,197,046.75
  6. Step 6: Final answer
    x = 881,739,670,006.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.