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Finding the Third Proportional to 89,801,356 and 193,972,760

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Solution

The third proportional to 89,801,356 and 193,972,760 is: 418,985,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,801,356 : 193,972,760 = 193,972,760 : x
  2. Step 2: Convert to fraction form
    89,801,356/193,972,760 = 193,972,760/x
  3. Step 3: Cross multiply
    89,801,356x = 193,972,760 × 193,972,760
  4. Step 4: Simplify right side
    89,801,356x = 37,625,431,622,017,600
  5. Step 5: Solve for x
    x = 37,625,431,622,017,600/89,801,356
  6. Step 6: Final answer
    x = 418,985,116.68

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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.