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Finding the Third Proportional to 90,051.75 and 194,069.25

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Solution

The third proportional to 90,051.75 and 194,069.25 is: 418,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,051.75 : 194,069.25 = 194,069.25 : x
  2. Step 2: Convert to fraction form
    90,051.75/194,069.25 = 194,069.25/x
  3. Step 3: Cross multiply
    90,051.75x = 194,069.25 × 194,069.25
  4. Step 4: Simplify right side
    90,051.75x = 37,662,873,795.56
  5. Step 5: Solve for x
    x = 37,662,873,795.56/90,051.75
  6. Step 6: Final answer
    x = 418,235.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.