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Finding the Third Proportional to 84,600,831 and 185,531,991

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Solution

The third proportional to 84,600,831 and 185,531,991 is: 406,876,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,600,831 : 185,531,991 = 185,531,991 : x
  2. Step 2: Convert to fraction form
    84,600,831/185,531,991 = 185,531,991/x
  3. Step 3: Cross multiply
    84,600,831x = 185,531,991 × 185,531,991
  4. Step 4: Simplify right side
    84,600,831x = 34,422,119,684,424,080
  5. Step 5: Solve for x
    x = 34,422,119,684,424,080/84,600,831
  6. Step 6: Final answer
    x = 406,876,850.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.