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Finding the Third Proportional to 85,680.28 and 187,975.69

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Solution

The third proportional to 85,680.28 and 187,975.69 is: 412,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,680.28 : 187,975.69 = 187,975.69 : x
  2. Step 2: Convert to fraction form
    85,680.28/187,975.69 = 187,975.69/x
  3. Step 3: Cross multiply
    85,680.28x = 187,975.69 × 187,975.69
  4. Step 4: Simplify right side
    85,680.28x = 35,334,859,091.10
  5. Step 5: Solve for x
    x = 35,334,859,091.10/85,680.28
  6. Step 6: Final answer
    x = 412,403.63

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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.