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Finding the Third Proportional to 98,072.25 and 209,631

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Solution

The third proportional to 98,072.25 and 209,631 is: 448,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,072.25 : 209,631 = 209,631 : x
  2. Step 2: Convert to fraction form
    98,072.25/209,631 = 209,631/x
  3. Step 3: Cross multiply
    98,072.25x = 209,631 × 209,631
  4. Step 4: Simplify right side
    98,072.25x = 43,945,156,161
  5. Step 5: Solve for x
    x = 43,945,156,161/98,072.25
  6. Step 6: Final answer
    x = 448,089.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.