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Finding the Third Proportional to 84,966.75 and 198,443.25

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Solution

The third proportional to 84,966.75 and 198,443.25 is: 463,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,966.75 : 198,443.25 = 198,443.25 : x
  2. Step 2: Convert to fraction form
    84,966.75/198,443.25 = 198,443.25/x
  3. Step 3: Cross multiply
    84,966.75x = 198,443.25 × 198,443.25
  4. Step 4: Simplify right side
    84,966.75x = 39,379,723,470.56
  5. Step 5: Solve for x
    x = 39,379,723,470.56/84,966.75
  6. Step 6: Final answer
    x = 463,472.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.