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Finding the Third Proportional to 47,664 and 104,216

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Solution

The third proportional to 47,664 and 104,216 is: 227,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,664 : 104,216 = 104,216 : x
  2. Step 2: Convert to fraction form
    47,664/104,216 = 104,216/x
  3. Step 3: Cross multiply
    47,664x = 104,216 × 104,216
  4. Step 4: Simplify right side
    47,664x = 10,860,974,656
  5. Step 5: Solve for x
    x = 10,860,974,656/47,664
  6. Step 6: Final answer
    x = 227,865.36

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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.