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Finding the Third Proportional to 179,779,262,739 and 391,206,917,801

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Solution

The third proportional to 179,779,262,739 and 391,206,917,801 is: 851,282,012,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,779,262,739 : 391,206,917,801 = 391,206,917,801 : x
  2. Step 2: Convert to fraction form
    179,779,262,739/391,206,917,801 = 391,206,917,801/x
  3. Step 3: Cross multiply
    179,779,262,739x = 391,206,917,801 × 391,206,917,801
  4. Step 4: Simplify right side
    179,779,262,739x = 153,042,852,535,358,367,727,616
  5. Step 5: Solve for x
    x = 153,042,852,535,358,367,727,616/179,779,262,739
  6. Step 6: Final answer
    x = 851,282,012,194.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.