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Finding the Third Proportional to 47,680 and 104,884

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Solution

The third proportional to 47,680 and 104,884 is: 230,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,680 : 104,884 = 104,884 : x
  2. Step 2: Convert to fraction form
    47,680/104,884 = 104,884/x
  3. Step 3: Cross multiply
    47,680x = 104,884 × 104,884
  4. Step 4: Simplify right side
    47,680x = 11,000,653,456
  5. Step 5: Solve for x
    x = 11,000,653,456/47,680
  6. Step 6: Final answer
    x = 230,718.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.