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Finding the Third Proportional to 193,190 and 414,945.50

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Solution

The third proportional to 193,190 and 414,945.50 is: 891,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,190 : 414,945.50 = 414,945.50 : x
  2. Step 2: Convert to fraction form
    193,190/414,945.50 = 414,945.50/x
  3. Step 3: Cross multiply
    193,190x = 414,945.50 × 414,945.50
  4. Step 4: Simplify right side
    193,190x = 172,179,767,970.25
  5. Step 5: Solve for x
    x = 172,179,767,970.25/193,190
  6. Step 6: Final answer
    x = 891,245.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.