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Finding the Third Proportional to 193,164.75 and 420,909.75

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Solution

The third proportional to 193,164.75 and 420,909.75 is: 917,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,164.75 : 420,909.75 = 420,909.75 : x
  2. Step 2: Convert to fraction form
    193,164.75/420,909.75 = 420,909.75/x
  3. Step 3: Cross multiply
    193,164.75x = 420,909.75 × 420,909.75
  4. Step 4: Simplify right side
    193,164.75x = 177,165,017,645.06
  5. Step 5: Solve for x
    x = 177,165,017,645.06/193,164.75
  6. Step 6: Final answer
    x = 917,170.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.