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Finding the Third Proportional to 116,838.56 and 167,082.19

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Solution

The third proportional to 116,838.56 and 167,082.19 is: 238,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,838.56 : 167,082.19 = 167,082.19 : x
  2. Step 2: Convert to fraction form
    116,838.56/167,082.19 = 167,082.19/x
  3. Step 3: Cross multiply
    116,838.56x = 167,082.19 × 167,082.19
  4. Step 4: Simplify right side
    116,838.56x = 27,916,457,379.79
  5. Step 5: Solve for x
    x = 27,916,457,379.79/116,838.56
  6. Step 6: Final answer
    x = 238,931.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.