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Finding the Third Proportional to 251,659,558.50 and 538,294,713

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Solution

The third proportional to 251,659,558.50 and 538,294,713 is: 1,151,401,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,659,558.50 : 538,294,713 = 538,294,713 : x
  2. Step 2: Convert to fraction form
    251,659,558.50/538,294,713 = 538,294,713/x
  3. Step 3: Cross multiply
    251,659,558.50x = 538,294,713 × 538,294,713
  4. Step 4: Simplify right side
    251,659,558.50x = 289,761,198,043,752,384
  5. Step 5: Solve for x
    x = 289,761,198,043,752,384/251,659,558.50
  6. Step 6: Final answer
    x = 1,151,401,519.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.