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Finding the Third Proportional to 96,471 and 209,040.75

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Solution

The third proportional to 96,471 and 209,040.75 is: 452,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,471 : 209,040.75 = 209,040.75 : x
  2. Step 2: Convert to fraction form
    96,471/209,040.75 = 209,040.75/x
  3. Step 3: Cross multiply
    96,471x = 209,040.75 × 209,040.75
  4. Step 4: Simplify right side
    96,471x = 43,698,035,160.56
  5. Step 5: Solve for x
    x = 43,698,035,160.56/96,471
  6. Step 6: Final answer
    x = 452,965.50

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Why These Related Problems?

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