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Finding the Third Proportional to 89,416.41 and 132,586.88

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Solution

The third proportional to 89,416.41 and 132,586.88 is: 196,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,416.41 : 132,586.88 = 132,586.88 : x
  2. Step 2: Convert to fraction form
    89,416.41/132,586.88 = 132,586.88/x
  3. Step 3: Cross multiply
    89,416.41x = 132,586.88 × 132,586.88
  4. Step 4: Simplify right side
    89,416.41x = 17,579,279,422.27
  5. Step 5: Solve for x
    x = 17,579,279,422.27/89,416.41
  6. Step 6: Final answer
    x = 196,600.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.