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Finding the Third Proportional to 89,976,253,180 and 193,493,623,040

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Solution

The third proportional to 89,976,253,180 and 193,493,623,040 is: 416,107,370,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,976,253,180 : 193,493,623,040 = 193,493,623,040 : x
  2. Step 2: Convert to fraction form
    89,976,253,180/193,493,623,040 = 193,493,623,040/x
  3. Step 3: Cross multiply
    89,976,253,180x = 193,493,623,040 × 193,493,623,040
  4. Step 4: Simplify right side
    89,976,253,180x = 37,439,782,157,145,618,776,064
  5. Step 5: Solve for x
    x = 37,439,782,157,145,618,776,064/89,976,253,180
  6. Step 6: Final answer
    x = 416,107,370,933.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.