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Finding the Third Proportional to 161,449,103,599 and 345,926,717,132

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Solution

The third proportional to 161,449,103,599 and 345,926,717,132 is: 741,195,156,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,449,103,599 : 345,926,717,132 = 345,926,717,132 : x
  2. Step 2: Convert to fraction form
    161,449,103,599/345,926,717,132 = 345,926,717,132/x
  3. Step 3: Cross multiply
    161,449,103,599x = 345,926,717,132 × 345,926,717,132
  4. Step 4: Simplify right side
    161,449,103,599x = 119,665,293,625,722,740,408,320
  5. Step 5: Solve for x
    x = 119,665,293,625,722,740,408,320/161,449,103,599
  6. Step 6: Final answer
    x = 741,195,156,604.54

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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.