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Finding the Third Proportional to 101,831,325 and 226,711,470

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Solution

The third proportional to 101,831,325 and 226,711,470 is: 504,737,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,831,325 : 226,711,470 = 226,711,470 : x
  2. Step 2: Convert to fraction form
    101,831,325/226,711,470 = 226,711,470/x
  3. Step 3: Cross multiply
    101,831,325x = 226,711,470 × 226,711,470
  4. Step 4: Simplify right side
    101,831,325x = 51,398,090,629,560,896
  5. Step 5: Solve for x
    x = 51,398,090,629,560,896/101,831,325
  6. Step 6: Final answer
    x = 504,737,521.87

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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.