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Finding the Third Proportional to 129,205.13 and 189,426.09

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Solution

The third proportional to 129,205.13 and 189,426.09 is: 277,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205.13 : 189,426.09 = 189,426.09 : x
  2. Step 2: Convert to fraction form
    129,205.13/189,426.09 = 189,426.09/x
  3. Step 3: Cross multiply
    129,205.13x = 189,426.09 × 189,426.09
  4. Step 4: Simplify right side
    129,205.13x = 35,882,244,993.38
  5. Step 5: Solve for x
    x = 35,882,244,993.38/129,205.13
  6. Step 6: Final answer
    x = 277,715.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.