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Finding the Third Proportional to 95,544.56 and 209,268.56

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Solution

The third proportional to 95,544.56 and 209,268.56 is: 458,355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,544.56 : 209,268.56 = 209,268.56 : x
  2. Step 2: Convert to fraction form
    95,544.56/209,268.56 = 209,268.56/x
  3. Step 3: Cross multiply
    95,544.56x = 209,268.56 × 209,268.56
  4. Step 4: Simplify right side
    95,544.56x = 43,793,331,250.82
  5. Step 5: Solve for x
    x = 43,793,331,250.82/95,544.56
  6. Step 6: Final answer
    x = 458,355.03

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Why These Related Problems?

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