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Finding the Third Proportional to 126,364,880 and 194,145,672

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Solution

The third proportional to 126,364,880 and 194,145,672 is: 298,283,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,364,880 : 194,145,672 = 194,145,672 : x
  2. Step 2: Convert to fraction form
    126,364,880/194,145,672 = 194,145,672/x
  3. Step 3: Cross multiply
    126,364,880x = 194,145,672 × 194,145,672
  4. Step 4: Simplify right side
    126,364,880x = 37,692,541,956,331,584
  5. Step 5: Solve for x
    x = 37,692,541,956,331,584/126,364,880
  6. Step 6: Final answer
    x = 298,283,367.63

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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.