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Finding the Third Proportional to 107,611.50 and 219,597

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Solution

The third proportional to 107,611.50 and 219,597 is: 448,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,611.50 : 219,597 = 219,597 : x
  2. Step 2: Convert to fraction form
    107,611.50/219,597 = 219,597/x
  3. Step 3: Cross multiply
    107,611.50x = 219,597 × 219,597
  4. Step 4: Simplify right side
    107,611.50x = 48,222,842,409
  5. Step 5: Solve for x
    x = 48,222,842,409/107,611.50
  6. Step 6: Final answer
    x = 448,119.79

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.