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Finding the Third Proportional to 68,231,268 and 161,070,876

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Solution

The third proportional to 68,231,268 and 161,070,876 is: 380,233,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,231,268 : 161,070,876 = 161,070,876 : x
  2. Step 2: Convert to fraction form
    68,231,268/161,070,876 = 161,070,876/x
  3. Step 3: Cross multiply
    68,231,268x = 161,070,876 × 161,070,876
  4. Step 4: Simplify right side
    68,231,268x = 25,943,827,095,407,376
  5. Step 5: Solve for x
    x = 25,943,827,095,407,376/68,231,268
  6. Step 6: Final answer
    x = 380,233,694.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.