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Finding the Third Proportional to 85,194,831 and 186,509,958

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Solution

The third proportional to 85,194,831 and 186,509,958 is: 408,310,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,194,831 : 186,509,958 = 186,509,958 : x
  2. Step 2: Convert to fraction form
    85,194,831/186,509,958 = 186,509,958/x
  3. Step 3: Cross multiply
    85,194,831x = 186,509,958 × 186,509,958
  4. Step 4: Simplify right side
    85,194,831x = 34,785,964,433,161,764
  5. Step 5: Solve for x
    x = 34,785,964,433,161,764/85,194,831
  6. Step 6: Final answer
    x = 408,310,739.34

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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.