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Finding the Third Proportional to 94,785,129,556 and 197,415,568,040

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Solution

The third proportional to 94,785,129,556 and 197,415,568,040 is: 411,171,105,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,785,129,556 : 197,415,568,040 = 197,415,568,040 : x
  2. Step 2: Convert to fraction form
    94,785,129,556/197,415,568,040 = 197,415,568,040/x
  3. Step 3: Cross multiply
    94,785,129,556x = 197,415,568,040 × 197,415,568,040
  4. Step 4: Simplify right side
    94,785,129,556x = 38,972,906,504,555,872,649,216
  5. Step 5: Solve for x
    x = 38,972,906,504,555,872,649,216/94,785,129,556
  6. Step 6: Final answer
    x = 411,171,105,500.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.