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Finding the Third Proportional to 47,215 and 101,447

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Solution

The third proportional to 47,215 and 101,447 is: 217,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,215 : 101,447 = 101,447 : x
  2. Step 2: Convert to fraction form
    47,215/101,447 = 101,447/x
  3. Step 3: Cross multiply
    47,215x = 101,447 × 101,447
  4. Step 4: Simplify right side
    47,215x = 10,291,493,809
  5. Step 5: Solve for x
    x = 10,291,493,809/47,215
  6. Step 6: Final answer
    x = 217,970.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.