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Finding the Third Proportional to 124,628,194.05 and 288,491,714.86

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Solution

The third proportional to 124,628,194.05 and 288,491,714.86 is: 667,806,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,628,194.05 : 288,491,714.86 = 288,491,714.86 : x
  2. Step 2: Convert to fraction form
    124,628,194.05/288,491,714.86 = 288,491,714.86/x
  3. Step 3: Cross multiply
    124,628,194.05x = 288,491,714.86 × 288,491,714.86
  4. Step 4: Simplify right side
    124,628,194.05x = 83,227,469,542,505,824
  5. Step 5: Solve for x
    x = 83,227,469,542,505,824/124,628,194.05
  6. Step 6: Final answer
    x = 667,806,110.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.