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Finding the Third Proportional to 89,408.81 and 195,425.16

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Solution

The third proportional to 89,408.81 and 195,425.16 is: 427,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,408.81 : 195,425.16 = 195,425.16 : x
  2. Step 2: Convert to fraction form
    89,408.81/195,425.16 = 195,425.16/x
  3. Step 3: Cross multiply
    89,408.81x = 195,425.16 × 195,425.16
  4. Step 4: Simplify right side
    89,408.81x = 38,190,991,695.34
  5. Step 5: Solve for x
    x = 38,190,991,695.34/89,408.81
  6. Step 6: Final answer
    x = 427,150.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.