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Finding the Third Proportional to 93,944.25 and 197,120.25

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Solution

The third proportional to 93,944.25 and 197,120.25 is: 413,611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,944.25 : 197,120.25 = 197,120.25 : x
  2. Step 2: Convert to fraction form
    93,944.25/197,120.25 = 197,120.25/x
  3. Step 3: Cross multiply
    93,944.25x = 197,120.25 × 197,120.25
  4. Step 4: Simplify right side
    93,944.25x = 38,856,392,960.06
  5. Step 5: Solve for x
    x = 38,856,392,960.06/93,944.25
  6. Step 6: Final answer
    x = 413,611.19

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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.