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Finding the Third Proportional to 161,412,228 and 226,493,320.50

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Solution

The third proportional to 161,412,228 and 226,493,320.50 is: 317,814,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,412,228 : 226,493,320.50 = 226,493,320.50 : x
  2. Step 2: Convert to fraction form
    161,412,228/226,493,320.50 = 226,493,320.50/x
  3. Step 3: Cross multiply
    161,412,228x = 226,493,320.50 × 226,493,320.50
  4. Step 4: Simplify right side
    161,412,228x = 51,299,224,231,115,720
  5. Step 5: Solve for x
    x = 51,299,224,231,115,720/161,412,228
  6. Step 6: Final answer
    x = 317,814,981.35

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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.