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Finding the Third Proportional to 50,646,633 and 103,083,147

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Solution

The third proportional to 50,646,633 and 103,083,147 is: 209,809,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,646,633 : 103,083,147 = 103,083,147 : x
  2. Step 2: Convert to fraction form
    50,646,633/103,083,147 = 103,083,147/x
  3. Step 3: Cross multiply
    50,646,633x = 103,083,147 × 103,083,147
  4. Step 4: Simplify right side
    50,646,633x = 10,626,135,195,423,608
  5. Step 5: Solve for x
    x = 10,626,135,195,423,608/50,646,633
  6. Step 6: Final answer
    x = 209,809,311.42

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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.