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Finding the Third Proportional to 96,450.75 and 211,577.06

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Solution

The third proportional to 96,450.75 and 211,577.06 is: 464,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,450.75 : 211,577.06 = 211,577.06 : x
  2. Step 2: Convert to fraction form
    96,450.75/211,577.06 = 211,577.06/x
  3. Step 3: Cross multiply
    96,450.75x = 211,577.06 × 211,577.06
  4. Step 4: Simplify right side
    96,450.75x = 44,764,853,376.13
  5. Step 5: Solve for x
    x = 44,764,853,376.13/96,450.75
  6. Step 6: Final answer
    x = 464,121.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.