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Finding the Third Proportional to 167,949,061,865 and 370,131,491,025

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Solution

The third proportional to 167,949,061,865 and 370,131,491,025 is: 815,707,567,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,949,061,865 : 370,131,491,025 = 370,131,491,025 : x
  2. Step 2: Convert to fraction form
    167,949,061,865/370,131,491,025 = 370,131,491,025/x
  3. Step 3: Cross multiply
    167,949,061,865x = 370,131,491,025 × 370,131,491,025
  4. Step 4: Simplify right side
    167,949,061,865x = 136,997,320,648,389,661,032,448
  5. Step 5: Solve for x
    x = 136,997,320,648,389,661,032,448/167,949,061,865
  6. Step 6: Final answer
    x = 815,707,567,086.68

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Why These Related Problems?

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