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Finding the Third Proportional to 78,163,942 and 167,062,227

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Solution

The third proportional to 78,163,942 and 167,062,227 is: 357,067,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163,942 : 167,062,227 = 167,062,227 : x
  2. Step 2: Convert to fraction form
    78,163,942/167,062,227 = 167,062,227/x
  3. Step 3: Cross multiply
    78,163,942x = 167,062,227 × 167,062,227
  4. Step 4: Simplify right side
    78,163,942x = 27,909,787,690,199,528
  5. Step 5: Solve for x
    x = 27,909,787,690,199,528/78,163,942
  6. Step 6: Final answer
    x = 357,067,299.53

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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.