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Finding the Third Proportional to 189,884.57 and 412,369.10

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Solution

The third proportional to 189,884.57 and 412,369.10 is: 895,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,884.57 : 412,369.10 = 412,369.10 : x
  2. Step 2: Convert to fraction form
    189,884.57/412,369.10 = 412,369.10/x
  3. Step 3: Cross multiply
    189,884.57x = 412,369.10 × 412,369.10
  4. Step 4: Simplify right side
    189,884.57x = 170,048,275,923.46
  5. Step 5: Solve for x
    x = 170,048,275,923.46/189,884.57
  6. Step 6: Final answer
    x = 895,535.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.