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Finding the Third Proportional to 90,051 and 194,067.75

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Solution

The third proportional to 90,051 and 194,067.75 is: 418,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,051 : 194,067.75 = 194,067.75 : x
  2. Step 2: Convert to fraction form
    90,051/194,067.75 = 194,067.75/x
  3. Step 3: Cross multiply
    90,051x = 194,067.75 × 194,067.75
  4. Step 4: Simplify right side
    90,051x = 37,662,291,590.06
  5. Step 5: Solve for x
    x = 37,662,291,590.06/90,051
  6. Step 6: Final answer
    x = 418,232.91

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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.