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Finding the Third Proportional to 90,305.75 and 197,739.63

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Solution

The third proportional to 90,305.75 and 197,739.63 is: 432,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,305.75 : 197,739.63 = 197,739.63 : x
  2. Step 2: Convert to fraction form
    90,305.75/197,739.63 = 197,739.63/x
  3. Step 3: Cross multiply
    90,305.75x = 197,739.63 × 197,739.63
  4. Step 4: Simplify right side
    90,305.75x = 39,100,959,295.14
  5. Step 5: Solve for x
    x = 39,100,959,295.14/90,305.75
  6. Step 6: Final answer
    x = 432,984.16

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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.