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Finding the Third Proportional to 75,455,694 and 161,668,147

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Solution

The third proportional to 75,455,694 and 161,668,147 is: 346,383,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,455,694 : 161,668,147 = 161,668,147 : x
  2. Step 2: Convert to fraction form
    75,455,694/161,668,147 = 161,668,147/x
  3. Step 3: Cross multiply
    75,455,694x = 161,668,147 × 161,668,147
  4. Step 4: Simplify right side
    75,455,694x = 26,136,589,754,413,608
  5. Step 5: Solve for x
    x = 26,136,589,754,413,608/75,455,694
  6. Step 6: Final answer
    x = 346,383,266.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.