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Finding the Third Proportional to 88,755.75 and 194,749.31

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Solution

The third proportional to 88,755.75 and 194,749.31 is: 427,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,755.75 : 194,749.31 = 194,749.31 : x
  2. Step 2: Convert to fraction form
    88,755.75/194,749.31 = 194,749.31/x
  3. Step 3: Cross multiply
    88,755.75x = 194,749.31 × 194,749.31
  4. Step 4: Simplify right side
    88,755.75x = 37,927,294,719.22
  5. Step 5: Solve for x
    x = 37,927,294,719.22/88,755.75
  6. Step 6: Final answer
    x = 427,322.11

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