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Finding the Third Proportional to 48,188 and 102,208

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Solution

The third proportional to 48,188 and 102,208 is: 216,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,188 : 102,208 = 102,208 : x
  2. Step 2: Convert to fraction form
    48,188/102,208 = 102,208/x
  3. Step 3: Cross multiply
    48,188x = 102,208 × 102,208
  4. Step 4: Simplify right side
    48,188x = 10,446,475,264
  5. Step 5: Solve for x
    x = 10,446,475,264/48,188
  6. Step 6: Final answer
    x = 216,785.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.