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Finding the Third Proportional to 84,380,634 and 126,795,600

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Solution

The third proportional to 84,380,634 and 126,795,600 is: 190,530,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,380,634 : 126,795,600 = 126,795,600 : x
  2. Step 2: Convert to fraction form
    84,380,634/126,795,600 = 126,795,600/x
  3. Step 3: Cross multiply
    84,380,634x = 126,795,600 × 126,795,600
  4. Step 4: Simplify right side
    84,380,634x = 16,077,124,179,360,000
  5. Step 5: Solve for x
    x = 16,077,124,179,360,000/84,380,634
  6. Step 6: Final answer
    x = 190,530,971.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.