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Finding the Third Proportional to 208,608,593,130 and 451,873,206,360

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Solution

The third proportional to 208,608,593,130 and 451,873,206,360 is: 978,815,836,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,608,593,130 : 451,873,206,360 = 451,873,206,360 : x
  2. Step 2: Convert to fraction form
    208,608,593,130/451,873,206,360 = 451,873,206,360/x
  3. Step 3: Cross multiply
    208,608,593,130x = 451,873,206,360 × 451,873,206,360
  4. Step 4: Simplify right side
    208,608,593,130x = 204,189,394,626,067,151,454,208
  5. Step 5: Solve for x
    x = 204,189,394,626,067,151,454,208/208,608,593,130
  6. Step 6: Final answer
    x = 978,815,836,693.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.