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Finding the Third Proportional to 208,608,593,134 and 451,873,206,368

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Solution

The third proportional to 208,608,593,134 and 451,873,206,368 is: 978,815,836,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,608,593,134 : 451,873,206,368 = 451,873,206,368 : x
  2. Step 2: Convert to fraction form
    208,608,593,134/451,873,206,368 = 451,873,206,368/x
  3. Step 3: Cross multiply
    208,608,593,134x = 451,873,206,368 × 451,873,206,368
  4. Step 4: Simplify right side
    208,608,593,134x = 204,189,394,633,297,124,917,248
  5. Step 5: Solve for x
    x = 204,189,394,633,297,124,917,248/208,608,593,134
  6. Step 6: Final answer
    x = 978,815,836,709.74

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