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Finding the Third Proportional to 199,638.11 and 435,405.90

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Solution

The third proportional to 199,638.11 and 435,405.90 is: 949,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,638.11 : 435,405.90 = 435,405.90 : x
  2. Step 2: Convert to fraction form
    199,638.11/435,405.90 = 435,405.90/x
  3. Step 3: Cross multiply
    199,638.11x = 435,405.90 × 435,405.90
  4. Step 4: Simplify right side
    199,638.11x = 189,578,299,795.78
  5. Step 5: Solve for x
    x = 189,578,299,795.78/199,638.11
  6. Step 6: Final answer
    x = 949,609.79

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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.