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Finding the Third Proportional to 206,632,944,105 and 320,828,594,854.50

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Solution

The third proportional to 206,632,944,105 and 320,828,594,854.50 is: 498,134,446,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,632,944,105 : 320,828,594,854.50 = 320,828,594,854.50 : x
  2. Step 2: Convert to fraction form
    206,632,944,105/320,828,594,854.50 = 320,828,594,854.50/x
  3. Step 3: Cross multiply
    206,632,944,105x = 320,828,594,854.50 × 320,828,594,854.50
  4. Step 4: Simplify right side
    206,632,944,105x = 102,930,987,276,312,906,825,728
  5. Step 5: Solve for x
    x = 102,930,987,276,312,906,825,728/206,632,944,105
  6. Step 6: Final answer
    x = 498,134,446,673.75

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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.