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Finding the Third Proportional to 47,298 and 103,477

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Solution

The third proportional to 47,298 and 103,477 is: 226,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,298 : 103,477 = 103,477 : x
  2. Step 2: Convert to fraction form
    47,298/103,477 = 103,477/x
  3. Step 3: Cross multiply
    47,298x = 103,477 × 103,477
  4. Step 4: Simplify right side
    47,298x = 10,707,489,529
  5. Step 5: Solve for x
    x = 10,707,489,529/47,298
  6. Step 6: Final answer
    x = 226,383.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.