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Finding the Third Proportional to 47,808 and 103,908

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Solution

The third proportional to 47,808 and 103,908 is: 225,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808 : 103,908 = 103,908 : x
  2. Step 2: Convert to fraction form
    47,808/103,908 = 103,908/x
  3. Step 3: Cross multiply
    47,808x = 103,908 × 103,908
  4. Step 4: Simplify right side
    47,808x = 10,796,872,464
  5. Step 5: Solve for x
    x = 10,796,872,464/47,808
  6. Step 6: Final answer
    x = 225,838.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.