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Finding the Third Proportional to 126,364,878 and 194,145,669

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Solution

The third proportional to 126,364,878 and 194,145,669 is: 298,283,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,364,878 : 194,145,669 = 194,145,669 : x
  2. Step 2: Convert to fraction form
    126,364,878/194,145,669 = 194,145,669/x
  3. Step 3: Cross multiply
    126,364,878x = 194,145,669 × 194,145,669
  4. Step 4: Simplify right side
    126,364,878x = 37,692,540,791,457,560
  5. Step 5: Solve for x
    x = 37,692,540,791,457,560/126,364,878
  6. Step 6: Final answer
    x = 298,283,363.13

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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.