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Finding the Third Proportional to 102,414.50 and 209,748.75

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Solution

The third proportional to 102,414.50 and 209,748.75 is: 429,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,414.50 : 209,748.75 = 209,748.75 : x
  2. Step 2: Convert to fraction form
    102,414.50/209,748.75 = 209,748.75/x
  3. Step 3: Cross multiply
    102,414.50x = 209,748.75 × 209,748.75
  4. Step 4: Simplify right side
    102,414.50x = 43,994,538,126.56
  5. Step 5: Solve for x
    x = 43,994,538,126.56/102,414.50
  6. Step 6: Final answer
    x = 429,573.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.