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Finding the Third Proportional to 92,968 and 191,438

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Solution

The third proportional to 92,968 and 191,438 is: 394,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,968 : 191,438 = 191,438 : x
  2. Step 2: Convert to fraction form
    92,968/191,438 = 191,438/x
  3. Step 3: Cross multiply
    92,968x = 191,438 × 191,438
  4. Step 4: Simplify right side
    92,968x = 36,648,507,844
  5. Step 5: Solve for x
    x = 36,648,507,844/92,968
  6. Step 6: Final answer
    x = 394,205.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.