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Finding the Third Proportional to 148,188,236,094 and 199,940,722,587

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Solution

The third proportional to 148,188,236,094 and 199,940,722,587 is: 269,766,977,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,188,236,094 : 199,940,722,587 = 199,940,722,587 : x
  2. Step 2: Convert to fraction form
    148,188,236,094/199,940,722,587 = 199,940,722,587/x
  3. Step 3: Cross multiply
    148,188,236,094x = 199,940,722,587 × 199,940,722,587
  4. Step 4: Simplify right side
    148,188,236,094x = 39,976,292,548,611,690,987,520
  5. Step 5: Solve for x
    x = 39,976,292,548,611,690,987,520/148,188,236,094
  6. Step 6: Final answer
    x = 269,766,977,476.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.