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Finding the Third Proportional to 91,455.75 and 195,623.44

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Solution

The third proportional to 91,455.75 and 195,623.44 is: 418,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,455.75 : 195,623.44 = 195,623.44 : x
  2. Step 2: Convert to fraction form
    91,455.75/195,623.44 = 195,623.44/x
  3. Step 3: Cross multiply
    91,455.75x = 195,623.44 × 195,623.44
  4. Step 4: Simplify right side
    91,455.75x = 38,268,529,299.32
  5. Step 5: Solve for x
    x = 38,268,529,299.32/91,455.75
  6. Step 6: Final answer
    x = 418,437.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.