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Finding the Third Proportional to 175,589,864 and 385,940,443

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Solution

The third proportional to 175,589,864 and 385,940,443 is: 848,283,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,589,864 : 385,940,443 = 385,940,443 : x
  2. Step 2: Convert to fraction form
    175,589,864/385,940,443 = 385,940,443/x
  3. Step 3: Cross multiply
    175,589,864x = 385,940,443 × 385,940,443
  4. Step 4: Simplify right side
    175,589,864x = 148,950,025,543,036,256
  5. Step 5: Solve for x
    x = 148,950,025,543,036,256/175,589,864
  6. Step 6: Final answer
    x = 848,283,734.32

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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.