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Finding the Third Proportional to 199,115.24 and 315,446.99

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Solution

The third proportional to 199,115.24 and 315,446.99 is: 499,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,115.24 : 315,446.99 = 315,446.99 : x
  2. Step 2: Convert to fraction form
    199,115.24/315,446.99 = 315,446.99/x
  3. Step 3: Cross multiply
    199,115.24x = 315,446.99 × 315,446.99
  4. Step 4: Simplify right side
    199,115.24x = 99,506,800,567.39
  5. Step 5: Solve for x
    x = 99,506,800,567.39/199,115.24
  6. Step 6: Final answer
    x = 499,744.76

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.