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Finding the Third Proportional to 101,831,323 and 226,711,466

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Solution

The third proportional to 101,831,323 and 226,711,466 is: 504,737,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,831,323 : 226,711,466 = 226,711,466 : x
  2. Step 2: Convert to fraction form
    101,831,323/226,711,466 = 226,711,466/x
  3. Step 3: Cross multiply
    101,831,323x = 226,711,466 × 226,711,466
  4. Step 4: Simplify right side
    101,831,323x = 51,398,088,815,869,152
  5. Step 5: Solve for x
    x = 51,398,088,815,869,152/101,831,323
  6. Step 6: Final answer
    x = 504,737,513.98

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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.