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Finding the Third Proportional to 41,542,710 and 96,163,853

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Solution

The third proportional to 41,542,710 and 96,163,853 is: 222,601,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,542,710 : 96,163,853 = 96,163,853 : x
  2. Step 2: Convert to fraction form
    41,542,710/96,163,853 = 96,163,853/x
  3. Step 3: Cross multiply
    41,542,710x = 96,163,853 × 96,163,853
  4. Step 4: Simplify right side
    41,542,710x = 9,247,486,623,805,608
  5. Step 5: Solve for x
    x = 9,247,486,623,805,608/41,542,710
  6. Step 6: Final answer
    x = 222,601,910.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.