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Finding the Third Proportional to 97,527.38 and 209,604.38

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Solution

The third proportional to 97,527.38 and 209,604.38 is: 450,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,527.38 : 209,604.38 = 209,604.38 : x
  2. Step 2: Convert to fraction form
    97,527.38/209,604.38 = 209,604.38/x
  3. Step 3: Cross multiply
    97,527.38x = 209,604.38 × 209,604.38
  4. Step 4: Simplify right side
    97,527.38x = 43,933,994,019.14
  5. Step 5: Solve for x
    x = 43,933,994,019.14/97,527.38
  6. Step 6: Final answer
    x = 450,478.59

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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.