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Finding the Third Proportional to 41,313.80 and 89,496.14

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Solution

The third proportional to 41,313.80 and 89,496.14 is: 193,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,313.80 : 89,496.14 = 89,496.14 : x
  2. Step 2: Convert to fraction form
    41,313.80/89,496.14 = 89,496.14/x
  3. Step 3: Cross multiply
    41,313.80x = 89,496.14 × 89,496.14
  4. Step 4: Simplify right side
    41,313.80x = 8,009,559,186.77
  5. Step 5: Solve for x
    x = 8,009,559,186.77/41,313.80
  6. Step 6: Final answer
    x = 193,871.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.