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Finding the Third Proportional to 161,412,230 and 226,493,323

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Solution

The third proportional to 161,412,230 and 226,493,323 is: 317,814,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,412,230 : 226,493,323 = 226,493,323 : x
  2. Step 2: Convert to fraction form
    161,412,230/226,493,323 = 226,493,323/x
  3. Step 3: Cross multiply
    161,412,230x = 226,493,323 × 226,493,323
  4. Step 4: Simplify right side
    161,412,230x = 51,299,225,363,582,328
  5. Step 5: Solve for x
    x = 51,299,225,363,582,328/161,412,230
  6. Step 6: Final answer
    x = 317,814,984.43

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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.