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Finding the Third Proportional to 97,301.25 and 209,607.75

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Solution

The third proportional to 97,301.25 and 209,607.75 is: 451,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,301.25 : 209,607.75 = 209,607.75 : x
  2. Step 2: Convert to fraction form
    97,301.25/209,607.75 = 209,607.75/x
  3. Step 3: Cross multiply
    97,301.25x = 209,607.75 × 209,607.75
  4. Step 4: Simplify right side
    97,301.25x = 43,935,408,860.06
  5. Step 5: Solve for x
    x = 43,935,408,860.06/97,301.25
  6. Step 6: Final answer
    x = 451,540.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.