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Finding the Third Proportional to 201,797,701,855 and 283,814,965,789

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Solution

The third proportional to 201,797,701,855 and 283,814,965,789 is: 399,166,759,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,797,701,855 : 283,814,965,789 = 283,814,965,789 : x
  2. Step 2: Convert to fraction form
    201,797,701,855/283,814,965,789 = 283,814,965,789/x
  3. Step 3: Cross multiply
    201,797,701,855x = 283,814,965,789 × 283,814,965,789
  4. Step 4: Simplify right side
    201,797,701,855x = 80,550,934,805,811,243,778,048
  5. Step 5: Solve for x
    x = 80,550,934,805,811,243,778,048/201,797,701,855
  6. Step 6: Final answer
    x = 399,166,759,905.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.