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Finding the Third Proportional to 133,246.13 and 199,236.38

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Solution

The third proportional to 133,246.13 and 199,236.38 is: 297,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,246.13 : 199,236.38 = 199,236.38 : x
  2. Step 2: Convert to fraction form
    133,246.13/199,236.38 = 199,236.38/x
  3. Step 3: Cross multiply
    133,246.13x = 199,236.38 × 199,236.38
  4. Step 4: Simplify right side
    133,246.13x = 39,695,133,123.14
  5. Step 5: Solve for x
    x = 39,695,133,123.14/133,246.13
  6. Step 6: Final answer
    x = 297,908.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.