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Finding the Third Proportional to 138,305,626 and 282,166,717

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Solution

The third proportional to 138,305,626 and 282,166,717 is: 575,667,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,305,626 : 282,166,717 = 282,166,717 : x
  2. Step 2: Convert to fraction form
    138,305,626/282,166,717 = 282,166,717/x
  3. Step 3: Cross multiply
    138,305,626x = 282,166,717 × 282,166,717
  4. Step 4: Simplify right side
    138,305,626x = 79,618,056,182,558,096
  5. Step 5: Solve for x
    x = 79,618,056,182,558,096/138,305,626
  6. Step 6: Final answer
    x = 575,667,516.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.