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Finding the Third Proportional to 45,847.69 and 97,215.19

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Solution

The third proportional to 45,847.69 and 97,215.19 is: 206,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,847.69 : 97,215.19 = 97,215.19 : x
  2. Step 2: Convert to fraction form
    45,847.69/97,215.19 = 97,215.19/x
  3. Step 3: Cross multiply
    45,847.69x = 97,215.19 × 97,215.19
  4. Step 4: Simplify right side
    45,847.69x = 9,450,792,680.66
  5. Step 5: Solve for x
    x = 9,450,792,680.66/45,847.69
  6. Step 6: Final answer
    x = 206,134.56

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.