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Finding the Third Proportional to 102,442.22 and 208,949.63

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Solution

The third proportional to 102,442.22 and 208,949.63 is: 426,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,442.22 : 208,949.63 = 208,949.63 : x
  2. Step 2: Convert to fraction form
    102,442.22/208,949.63 = 208,949.63/x
  3. Step 3: Cross multiply
    102,442.22x = 208,949.63 × 208,949.63
  4. Step 4: Simplify right side
    102,442.22x = 43,659,945,787.64
  5. Step 5: Solve for x
    x = 43,659,945,787.64/102,442.22
  6. Step 6: Final answer
    x = 426,190.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.