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Finding the Third Proportional to 96,594.75 and 210,351.75

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Solution

The third proportional to 96,594.75 and 210,351.75 is: 458,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,594.75 : 210,351.75 = 210,351.75 : x
  2. Step 2: Convert to fraction form
    96,594.75/210,351.75 = 210,351.75/x
  3. Step 3: Cross multiply
    96,594.75x = 210,351.75 × 210,351.75
  4. Step 4: Simplify right side
    96,594.75x = 44,247,858,728.06
  5. Step 5: Solve for x
    x = 44,247,858,728.06/96,594.75
  6. Step 6: Final answer
    x = 458,077.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.