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Finding the Third Proportional to 104,565.94 and 229,635

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Solution

The third proportional to 104,565.94 and 229,635 is: 504,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,565.94 : 229,635 = 229,635 : x
  2. Step 2: Convert to fraction form
    104,565.94/229,635 = 229,635/x
  3. Step 3: Cross multiply
    104,565.94x = 229,635 × 229,635
  4. Step 4: Simplify right side
    104,565.94x = 52,732,233,225
  5. Step 5: Solve for x
    x = 52,732,233,225/104,565.94
  6. Step 6: Final answer
    x = 504,296.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.