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Finding the Third Proportional to 101,831,324 and 226,711,468

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Solution

The third proportional to 101,831,324 and 226,711,468 is: 504,737,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,831,324 : 226,711,468 = 226,711,468 : x
  2. Step 2: Convert to fraction form
    101,831,324/226,711,468 = 226,711,468/x
  3. Step 3: Cross multiply
    101,831,324x = 226,711,468 × 226,711,468
  4. Step 4: Simplify right side
    101,831,324x = 51,398,089,722,715,024
  5. Step 5: Solve for x
    x = 51,398,089,722,715,024/101,831,324
  6. Step 6: Final answer
    x = 504,737,517.92

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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.