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Finding the Third Proportional to 89,671.50 and 188,637.75

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Solution

The third proportional to 89,671.50 and 188,637.75 is: 396,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,671.50 : 188,637.75 = 188,637.75 : x
  2. Step 2: Convert to fraction form
    89,671.50/188,637.75 = 188,637.75/x
  3. Step 3: Cross multiply
    89,671.50x = 188,637.75 × 188,637.75
  4. Step 4: Simplify right side
    89,671.50x = 35,584,200,725.06
  5. Step 5: Solve for x
    x = 35,584,200,725.06/89,671.50
  6. Step 6: Final answer
    x = 396,828.43

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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.