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Finding the Third Proportional to 59,345,229 and 126,529,150

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Solution

The third proportional to 59,345,229 and 126,529,150 is: 269,771,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,345,229 : 126,529,150 = 126,529,150 : x
  2. Step 2: Convert to fraction form
    59,345,229/126,529,150 = 126,529,150/x
  3. Step 3: Cross multiply
    59,345,229x = 126,529,150 × 126,529,150
  4. Step 4: Simplify right side
    59,345,229x = 16,009,625,799,722,500
  5. Step 5: Solve for x
    x = 16,009,625,799,722,500/59,345,229
  6. Step 6: Final answer
    x = 269,771,067.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.