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Finding the Third Proportional to 89,695.50 and 188,685

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Solution

The third proportional to 89,695.50 and 188,685 is: 396,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,695.50 : 188,685 = 188,685 : x
  2. Step 2: Convert to fraction form
    89,695.50/188,685 = 188,685/x
  3. Step 3: Cross multiply
    89,695.50x = 188,685 × 188,685
  4. Step 4: Simplify right side
    89,695.50x = 35,602,029,225
  5. Step 5: Solve for x
    x = 35,602,029,225/89,695.50
  6. Step 6: Final answer
    x = 396,921.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.