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Finding the Third Proportional to 206,632,944,129 and 320,828,594,889

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Solution

The third proportional to 206,632,944,129 and 320,828,594,889 is: 498,134,446,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,632,944,129 : 320,828,594,889 = 320,828,594,889 : x
  2. Step 2: Convert to fraction form
    206,632,944,129/320,828,594,889 = 320,828,594,889/x
  3. Step 3: Cross multiply
    206,632,944,129x = 320,828,594,889 × 320,828,594,889
  4. Step 4: Simplify right side
    206,632,944,129x = 102,930,987,298,450,074,238,976
  5. Step 5: Solve for x
    x = 102,930,987,298,450,074,238,976/206,632,944,129
  6. Step 6: Final answer
    x = 498,134,446,723.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.