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Finding the Third Proportional to 96,421.75 and 209,427.75

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Solution

The third proportional to 96,421.75 and 209,427.75 is: 454,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,421.75 : 209,427.75 = 209,427.75 : x
  2. Step 2: Convert to fraction form
    96,421.75/209,427.75 = 209,427.75/x
  3. Step 3: Cross multiply
    96,421.75x = 209,427.75 × 209,427.75
  4. Step 4: Simplify right side
    96,421.75x = 43,859,982,470.06
  5. Step 5: Solve for x
    x = 43,859,982,470.06/96,421.75
  6. Step 6: Final answer
    x = 454,876.44

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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.