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Finding the Third Proportional to 97,747.88 and 212,991.75

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Solution

The third proportional to 97,747.88 and 212,991.75 is: 464,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,747.88 : 212,991.75 = 212,991.75 : x
  2. Step 2: Convert to fraction form
    97,747.88/212,991.75 = 212,991.75/x
  3. Step 3: Cross multiply
    97,747.88x = 212,991.75 × 212,991.75
  4. Step 4: Simplify right side
    97,747.88x = 45,365,485,568.06
  5. Step 5: Solve for x
    x = 45,365,485,568.06/97,747.88
  6. Step 6: Final answer
    x = 464,107.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.