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Finding the Third Proportional to 101,831,317 and 226,711,454

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Solution

The third proportional to 101,831,317 and 226,711,454 is: 504,737,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,831,317 : 226,711,454 = 226,711,454 : x
  2. Step 2: Convert to fraction form
    101,831,317/226,711,454 = 226,711,454/x
  3. Step 3: Cross multiply
    101,831,317x = 226,711,454 × 226,711,454
  4. Step 4: Simplify right side
    101,831,317x = 51,398,083,374,794,112
  5. Step 5: Solve for x
    x = 51,398,083,374,794,112/101,831,317
  6. Step 6: Final answer
    x = 504,737,490.28

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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.