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Finding the Third Proportional to 168,761,360.25 and 253,591,367.63

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Solution

The third proportional to 168,761,360.25 and 253,591,367.63 is: 381,062,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,761,360.25 : 253,591,367.63 = 253,591,367.63 : x
  2. Step 2: Convert to fraction form
    168,761,360.25/253,591,367.63 = 253,591,367.63/x
  3. Step 3: Cross multiply
    168,761,360.25x = 253,591,367.63 × 253,591,367.63
  4. Step 4: Simplify right side
    168,761,360.25x = 64,308,581,733,917,896
  5. Step 5: Solve for x
    x = 64,308,581,733,917,896/168,761,360.25
  6. Step 6: Final answer
    x = 381,062,238.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.