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Finding the Third Proportional to 161,412,229 and 226,493,322

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Solution

The third proportional to 161,412,229 and 226,493,322 is: 317,814,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,412,229 : 226,493,322 = 226,493,322 : x
  2. Step 2: Convert to fraction form
    161,412,229/226,493,322 = 226,493,322/x
  3. Step 3: Cross multiply
    161,412,229x = 226,493,322 × 226,493,322
  4. Step 4: Simplify right side
    161,412,229x = 51,299,224,910,595,680
  5. Step 5: Solve for x
    x = 51,299,224,910,595,680/161,412,229
  6. Step 6: Final answer
    x = 317,814,983.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.