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Finding the Third Proportional to 99,793.69 and 224,570.81

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Solution

The third proportional to 99,793.69 and 224,570.81 is: 505,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,793.69 : 224,570.81 = 224,570.81 : x
  2. Step 2: Convert to fraction form
    99,793.69/224,570.81 = 224,570.81/x
  3. Step 3: Cross multiply
    99,793.69x = 224,570.81 × 224,570.81
  4. Step 4: Simplify right side
    99,793.69x = 50,432,049,826.91
  5. Step 5: Solve for x
    x = 50,432,049,826.91/99,793.69
  6. Step 6: Final answer
    x = 505,363.13

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.