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Finding the Third Proportional to 101,831,319 and 226,711,458

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Solution

The third proportional to 101,831,319 and 226,711,458 is: 504,737,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,831,319 : 226,711,458 = 226,711,458 : x
  2. Step 2: Convert to fraction form
    101,831,319/226,711,458 = 226,711,458/x
  3. Step 3: Cross multiply
    101,831,319x = 226,711,458 × 226,711,458
  4. Step 4: Simplify right side
    101,831,319x = 51,398,085,188,485,760
  5. Step 5: Solve for x
    x = 51,398,085,188,485,760/101,831,319
  6. Step 6: Final answer
    x = 504,737,498.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.