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Finding the Third Proportional to 96,322.97 and 209,059.97

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Solution

The third proportional to 96,322.97 and 209,059.97 is: 453,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,322.97 : 209,059.97 = 209,059.97 : x
  2. Step 2: Convert to fraction form
    96,322.97/209,059.97 = 209,059.97/x
  3. Step 3: Cross multiply
    96,322.97x = 209,059.97 × 209,059.97
  4. Step 4: Simplify right side
    96,322.97x = 43,706,070,533.75
  5. Step 5: Solve for x
    x = 43,706,070,533.75/96,322.97
  6. Step 6: Final answer
    x = 453,745.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.