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Finding the Third Proportional to 46,481.75 and 95,714.50

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Solution

The third proportional to 46,481.75 and 95,714.50 is: 197,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,481.75 : 95,714.50 = 95,714.50 : x
  2. Step 2: Convert to fraction form
    46,481.75/95,714.50 = 95,714.50/x
  3. Step 3: Cross multiply
    46,481.75x = 95,714.50 × 95,714.50
  4. Step 4: Simplify right side
    46,481.75x = 9,161,265,510.25
  5. Step 5: Solve for x
    x = 9,161,265,510.25/46,481.75
  6. Step 6: Final answer
    x = 197,093.82

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.