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Finding the Third Proportional to 164,567,977,541 and 251,770,579,707

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Solution

The third proportional to 164,567,977,541 and 251,770,579,707 is: 385,180,797,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,567,977,541 : 251,770,579,707 = 251,770,579,707 : x
  2. Step 2: Convert to fraction form
    164,567,977,541/251,770,579,707 = 251,770,579,707/x
  3. Step 3: Cross multiply
    164,567,977,541x = 251,770,579,707 × 251,770,579,707
  4. Step 4: Simplify right side
    164,567,977,541x = 63,388,424,805,998,844,182,528
  5. Step 5: Solve for x
    x = 63,388,424,805,998,844,182,528/164,567,977,541
  6. Step 6: Final answer
    x = 385,180,797,340.76

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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.