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Finding the Third Proportional to 206,114,138 and 444,510,772

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Solution

The third proportional to 206,114,138 and 444,510,772 is: 958,642,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,114,138 : 444,510,772 = 444,510,772 : x
  2. Step 2: Convert to fraction form
    206,114,138/444,510,772 = 444,510,772/x
  3. Step 3: Cross multiply
    206,114,138x = 444,510,772 × 444,510,772
  4. Step 4: Simplify right side
    206,114,138x = 197,589,826,424,035,968
  5. Step 5: Solve for x
    x = 197,589,826,424,035,968/206,114,138
  6. Step 6: Final answer
    x = 958,642,761.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.