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Finding the Third Proportional to 161,412,240 and 226,493,334

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Solution

The third proportional to 161,412,240 and 226,493,334 is: 317,814,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,412,240 : 226,493,334 = 226,493,334 : x
  2. Step 2: Convert to fraction form
    161,412,240/226,493,334 = 226,493,334/x
  3. Step 3: Cross multiply
    161,412,240x = 226,493,334 × 226,493,334
  4. Step 4: Simplify right side
    161,412,240x = 51,299,230,346,435,552
  5. Step 5: Solve for x
    x = 51,299,230,346,435,552/161,412,240
  6. Step 6: Final answer
    x = 317,814,995.61

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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.