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Finding the Third Proportional to 101,831,316 and 226,711,452

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Solution

The third proportional to 101,831,316 and 226,711,452 is: 504,737,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,831,316 : 226,711,452 = 226,711,452 : x
  2. Step 2: Convert to fraction form
    101,831,316/226,711,452 = 226,711,452/x
  3. Step 3: Cross multiply
    101,831,316x = 226,711,452 × 226,711,452
  4. Step 4: Simplify right side
    101,831,316x = 51,398,082,467,948,304
  5. Step 5: Solve for x
    x = 51,398,082,467,948,304/101,831,316
  6. Step 6: Final answer
    x = 504,737,486.33

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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.