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Finding the Third Proportional to 96,783.75 and 212,842.13

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Solution

The third proportional to 96,783.75 and 212,842.13 is: 468,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,783.75 : 212,842.13 = 212,842.13 : x
  2. Step 2: Convert to fraction form
    96,783.75/212,842.13 = 212,842.13/x
  3. Step 3: Cross multiply
    96,783.75x = 212,842.13 × 212,842.13
  4. Step 4: Simplify right side
    96,783.75x = 45,301,770,174.52
  5. Step 5: Solve for x
    x = 45,301,770,174.52/96,783.75
  6. Step 6: Final answer
    x = 468,072.07

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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.