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Finding the Third Proportional to 54,770,309 and 115,652,188

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Solution

The third proportional to 54,770,309 and 115,652,188 is: 244,209,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,770,309 : 115,652,188 = 115,652,188 : x
  2. Step 2: Convert to fraction form
    54,770,309/115,652,188 = 115,652,188/x
  3. Step 3: Cross multiply
    54,770,309x = 115,652,188 × 115,652,188
  4. Step 4: Simplify right side
    54,770,309x = 13,375,428,589,187,344
  5. Step 5: Solve for x
    x = 13,375,428,589,187,344/54,770,309
  6. Step 6: Final answer
    x = 244,209,478.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.