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Finding the Third Proportional to 88,194 and 193,948

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Solution

The third proportional to 88,194 and 193,948 is: 426,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,194 : 193,948 = 193,948 : x
  2. Step 2: Convert to fraction form
    88,194/193,948 = 193,948/x
  3. Step 3: Cross multiply
    88,194x = 193,948 × 193,948
  4. Step 4: Simplify right side
    88,194x = 37,615,826,704
  5. Step 5: Solve for x
    x = 37,615,826,704/88,194
  6. Step 6: Final answer
    x = 426,512.31

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