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Finding the Third Proportional to 164,567,977,535 and 251,770,579,698

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Solution

The third proportional to 164,567,977,535 and 251,770,579,698 is: 385,180,797,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,567,977,535 : 251,770,579,698 = 251,770,579,698 : x
  2. Step 2: Convert to fraction form
    164,567,977,535/251,770,579,698 = 251,770,579,698/x
  3. Step 3: Cross multiply
    164,567,977,535x = 251,770,579,698 × 251,770,579,698
  4. Step 4: Simplify right side
    164,567,977,535x = 63,388,424,801,466,965,819,392
  5. Step 5: Solve for x
    x = 63,388,424,801,466,965,819,392/164,567,977,535
  6. Step 6: Final answer
    x = 385,180,797,327.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.