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Finding the Third Proportional to 89,490 and 188,188

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Solution

The third proportional to 89,490 and 188,188 is: 395,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,490 : 188,188 = 188,188 : x
  2. Step 2: Convert to fraction form
    89,490/188,188 = 188,188/x
  3. Step 3: Cross multiply
    89,490x = 188,188 × 188,188
  4. Step 4: Simplify right side
    89,490x = 35,414,723,344
  5. Step 5: Solve for x
    x = 35,414,723,344/89,490
  6. Step 6: Final answer
    x = 395,739.45

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Why These Related Problems?

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