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Finding the Third Proportional to 87,097.50 and 190,797.75

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Solution

The third proportional to 87,097.50 and 190,797.75 is: 417,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,097.50 : 190,797.75 = 190,797.75 : x
  2. Step 2: Convert to fraction form
    87,097.50/190,797.75 = 190,797.75/x
  3. Step 3: Cross multiply
    87,097.50x = 190,797.75 × 190,797.75
  4. Step 4: Simplify right side
    87,097.50x = 36,403,781,405.06
  5. Step 5: Solve for x
    x = 36,403,781,405.06/87,097.50
  6. Step 6: Final answer
    x = 417,965.86

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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.