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Finding the Third Proportional to 161,412,253.50 and 226,493,352

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Solution

The third proportional to 161,412,253.50 and 226,493,352 is: 317,815,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,412,253.50 : 226,493,352 = 226,493,352 : x
  2. Step 2: Convert to fraction form
    161,412,253.50/226,493,352 = 226,493,352/x
  3. Step 3: Cross multiply
    161,412,253.50x = 226,493,352 × 226,493,352
  4. Step 4: Simplify right side
    161,412,253.50x = 51,299,238,500,195,904
  5. Step 5: Solve for x
    x = 51,299,238,500,195,904/161,412,253.50
  6. Step 6: Final answer
    x = 317,815,019.54

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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.