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Finding the Third Proportional to 89,691 and 190,314.75

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Solution

The third proportional to 89,691 and 190,314.75 is: 403,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,691 : 190,314.75 = 190,314.75 : x
  2. Step 2: Convert to fraction form
    89,691/190,314.75 = 190,314.75/x
  3. Step 3: Cross multiply
    89,691x = 190,314.75 × 190,314.75
  4. Step 4: Simplify right side
    89,691x = 36,219,704,067.56
  5. Step 5: Solve for x
    x = 36,219,704,067.56/89,691
  6. Step 6: Final answer
    x = 403,827.63

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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.