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Finding the Third Proportional to 47,218 and 102,180

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Solution

The third proportional to 47,218 and 102,180 is: 221,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,218 : 102,180 = 102,180 : x
  2. Step 2: Convert to fraction form
    47,218/102,180 = 102,180/x
  3. Step 3: Cross multiply
    47,218x = 102,180 × 102,180
  4. Step 4: Simplify right side
    47,218x = 10,440,752,400
  5. Step 5: Solve for x
    x = 10,440,752,400/47,218
  6. Step 6: Final answer
    x = 221,118.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.