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Finding the Third Proportional to 187,102.13 and 410,082.75

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Solution

The third proportional to 187,102.13 and 410,082.75 is: 898,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,102.13 : 410,082.75 = 410,082.75 : x
  2. Step 2: Convert to fraction form
    187,102.13/410,082.75 = 410,082.75/x
  3. Step 3: Cross multiply
    187,102.13x = 410,082.75 × 410,082.75
  4. Step 4: Simplify right side
    187,102.13x = 168,167,861,847.56
  5. Step 5: Solve for x
    x = 168,167,861,847.56/187,102.13
  6. Step 6: Final answer
    x = 898,802.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.