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Finding the Third Proportional to 89,550 and 188,316

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Solution

The third proportional to 89,550 and 188,316 is: 396,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,550 : 188,316 = 188,316 : x
  2. Step 2: Convert to fraction form
    89,550/188,316 = 188,316/x
  3. Step 3: Cross multiply
    89,550x = 188,316 × 188,316
  4. Step 4: Simplify right side
    89,550x = 35,462,915,856
  5. Step 5: Solve for x
    x = 35,462,915,856/89,550
  6. Step 6: Final answer
    x = 396,012.46

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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.