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Finding the Third Proportional to 101,194.31 and 194,460.75

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Solution

The third proportional to 101,194.31 and 194,460.75 is: 373,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,194.31 : 194,460.75 = 194,460.75 : x
  2. Step 2: Convert to fraction form
    101,194.31/194,460.75 = 194,460.75/x
  3. Step 3: Cross multiply
    101,194.31x = 194,460.75 × 194,460.75
  4. Step 4: Simplify right side
    101,194.31x = 37,814,983,290.56
  5. Step 5: Solve for x
    x = 37,814,983,290.56/101,194.31
  6. Step 6: Final answer
    x = 373,686.84

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.