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Finding the Third Proportional to 84,035,568 and 182,794,992

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Solution

The third proportional to 84,035,568 and 182,794,992 is: 397,617,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,035,568 : 182,794,992 = 182,794,992 : x
  2. Step 2: Convert to fraction form
    84,035,568/182,794,992 = 182,794,992/x
  3. Step 3: Cross multiply
    84,035,568x = 182,794,992 × 182,794,992
  4. Step 4: Simplify right side
    84,035,568x = 33,414,009,100,280,064
  5. Step 5: Solve for x
    x = 33,414,009,100,280,064/84,035,568
  6. Step 6: Final answer
    x = 397,617,460.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.