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Finding the Third Proportional to 97,719.75 and 211,992.19

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Solution

The third proportional to 97,719.75 and 211,992.19 is: 459,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,719.75 : 211,992.19 = 211,992.19 : x
  2. Step 2: Convert to fraction form
    97,719.75/211,992.19 = 211,992.19/x
  3. Step 3: Cross multiply
    97,719.75x = 211,992.19 × 211,992.19
  4. Step 4: Simplify right side
    97,719.75x = 44,940,687,561.04
  5. Step 5: Solve for x
    x = 44,940,687,561.04/97,719.75
  6. Step 6: Final answer
    x = 459,893.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.