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Finding the Third Proportional to 192,188,016 and 414,609,120

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Solution

The third proportional to 192,188,016 and 414,609,120 is: 894,440,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,188,016 : 414,609,120 = 414,609,120 : x
  2. Step 2: Convert to fraction form
    192,188,016/414,609,120 = 414,609,120/x
  3. Step 3: Cross multiply
    192,188,016x = 414,609,120 × 414,609,120
  4. Step 4: Simplify right side
    192,188,016x = 171,900,722,387,174,400
  5. Step 5: Solve for x
    x = 171,900,722,387,174,400/192,188,016
  6. Step 6: Final answer
    x = 894,440,381.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.