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Finding the Third Proportional to 95,656,633,864 and 205,509,019,936

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Solution

The third proportional to 95,656,633,864 and 205,509,019,936 is: 441,516,239,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,656,633,864 : 205,509,019,936 = 205,509,019,936 : x
  2. Step 2: Convert to fraction form
    95,656,633,864/205,509,019,936 = 205,509,019,936/x
  3. Step 3: Cross multiply
    95,656,633,864x = 205,509,019,936 × 205,509,019,936
  4. Step 4: Simplify right side
    95,656,633,864x = 42,233,957,275,055,245,230,080
  5. Step 5: Solve for x
    x = 42,233,957,275,055,245,230,080/95,656,633,864
  6. Step 6: Final answer
    x = 441,516,239,585.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.