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Finding the Third Proportional to 161,412,218.44 and 226,493,306.16

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Solution

The third proportional to 161,412,218.44 and 226,493,306.16 is: 317,814,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,412,218.44 : 226,493,306.16 = 226,493,306.16 : x
  2. Step 2: Convert to fraction form
    161,412,218.44/226,493,306.16 = 226,493,306.16/x
  3. Step 3: Cross multiply
    161,412,218.44x = 226,493,306.16 × 226,493,306.16
  4. Step 4: Simplify right side
    161,412,218.44x = 51,299,217,733,588,792
  5. Step 5: Solve for x
    x = 51,299,217,733,588,792/161,412,218.44
  6. Step 6: Final answer
    x = 317,814,959.92

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