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Finding the Third Proportional to 96,813.25 and 209,710

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Solution

The third proportional to 96,813.25 and 209,710 is: 454,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,813.25 : 209,710 = 209,710 : x
  2. Step 2: Convert to fraction form
    96,813.25/209,710 = 209,710/x
  3. Step 3: Cross multiply
    96,813.25x = 209,710 × 209,710
  4. Step 4: Simplify right side
    96,813.25x = 43,978,284,100
  5. Step 5: Solve for x
    x = 43,978,284,100/96,813.25
  6. Step 6: Final answer
    x = 454,258.94

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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.