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Finding the Third Proportional to 126,204,138 and 193,864,941

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Solution

The third proportional to 126,204,138 and 193,864,941 is: 297,800,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,204,138 : 193,864,941 = 193,864,941 : x
  2. Step 2: Convert to fraction form
    126,204,138/193,864,941 = 193,864,941/x
  3. Step 3: Cross multiply
    126,204,138x = 193,864,941 × 193,864,941
  4. Step 4: Simplify right side
    126,204,138x = 37,583,615,348,933,480
  5. Step 5: Solve for x
    x = 37,583,615,348,933,480/126,204,138
  6. Step 6: Final answer
    x = 297,800,182.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.