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Finding the Third Proportional to 89,197.88 and 187,152.19

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Solution

The third proportional to 89,197.88 and 187,152.19 is: 392,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,197.88 : 187,152.19 = 187,152.19 : x
  2. Step 2: Convert to fraction form
    89,197.88/187,152.19 = 187,152.19/x
  3. Step 3: Cross multiply
    89,197.88x = 187,152.19 × 187,152.19
  4. Step 4: Simplify right side
    89,197.88x = 35,025,941,286.04
  5. Step 5: Solve for x
    x = 35,025,941,286.04/89,197.88
  6. Step 6: Final answer
    x = 392,676.86

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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.