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Finding the Third Proportional to 161,449,103,597 and 345,926,717,129

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Solution

The third proportional to 161,449,103,597 and 345,926,717,129 is: 741,195,156,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,449,103,597 : 345,926,717,129 = 345,926,717,129 : x
  2. Step 2: Convert to fraction form
    161,449,103,597/345,926,717,129 = 345,926,717,129/x
  3. Step 3: Cross multiply
    161,449,103,597x = 345,926,717,129 × 345,926,717,129
  4. Step 4: Simplify right side
    161,449,103,597x = 119,665,293,623,647,180,685,312
  5. Step 5: Solve for x
    x = 119,665,293,623,647,180,685,312/161,449,103,597
  6. Step 6: Final answer
    x = 741,195,156,600.86

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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.