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Finding the Third Proportional to 89,473.36 and 192,956.87

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Solution

The third proportional to 89,473.36 and 192,956.87 is: 416,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,473.36 : 192,956.87 = 192,956.87 : x
  2. Step 2: Convert to fraction form
    89,473.36/192,956.87 = 192,956.87/x
  3. Step 3: Cross multiply
    89,473.36x = 192,956.87 × 192,956.87
  4. Step 4: Simplify right side
    89,473.36x = 37,232,354,102.29
  5. Step 5: Solve for x
    x = 37,232,354,102.29/89,473.36
  6. Step 6: Final answer
    x = 416,127.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.