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Finding the Third Proportional to 191,193 and 303,663.50

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Solution

The third proportional to 191,193 and 303,663.50 is: 482,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,193 : 303,663.50 = 303,663.50 : x
  2. Step 2: Convert to fraction form
    191,193/303,663.50 = 303,663.50/x
  3. Step 3: Cross multiply
    191,193x = 303,663.50 × 303,663.50
  4. Step 4: Simplify right side
    191,193x = 92,211,521,232.25
  5. Step 5: Solve for x
    x = 92,211,521,232.25/191,193
  6. Step 6: Final answer
    x = 482,295.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.