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Finding the Third Proportional to 88,194 and 193,947

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Solution

The third proportional to 88,194 and 193,947 is: 426,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,194 : 193,947 = 193,947 : x
  2. Step 2: Convert to fraction form
    88,194/193,947 = 193,947/x
  3. Step 3: Cross multiply
    88,194x = 193,947 × 193,947
  4. Step 4: Simplify right side
    88,194x = 37,615,438,809
  5. Step 5: Solve for x
    x = 37,615,438,809/88,194
  6. Step 6: Final answer
    x = 426,507.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.