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Finding the Third Proportional to 96,225 and 209,919

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Solution

The third proportional to 96,225 and 209,919 is: 457,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,225 : 209,919 = 209,919 : x
  2. Step 2: Convert to fraction form
    96,225/209,919 = 209,919/x
  3. Step 3: Cross multiply
    96,225x = 209,919 × 209,919
  4. Step 4: Simplify right side
    96,225x = 44,065,986,561
  5. Step 5: Solve for x
    x = 44,065,986,561/96,225
  6. Step 6: Final answer
    x = 457,947.38

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Why These Related Problems?

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