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Finding the Third Proportional to 47,206 and 102,188

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Solution

The third proportional to 47,206 and 102,188 is: 221,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,206 : 102,188 = 102,188 : x
  2. Step 2: Convert to fraction form
    47,206/102,188 = 102,188/x
  3. Step 3: Cross multiply
    47,206x = 102,188 × 102,188
  4. Step 4: Simplify right side
    47,206x = 10,442,387,344
  5. Step 5: Solve for x
    x = 10,442,387,344/47,206
  6. Step 6: Final answer
    x = 221,208.90

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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.