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Finding the Third Proportional to 98,313 and 231,093

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Solution

The third proportional to 98,313 and 231,093 is: 543,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,313 : 231,093 = 231,093 : x
  2. Step 2: Convert to fraction form
    98,313/231,093 = 231,093/x
  3. Step 3: Cross multiply
    98,313x = 231,093 × 231,093
  4. Step 4: Simplify right side
    98,313x = 53,403,974,649
  5. Step 5: Solve for x
    x = 53,403,974,649/98,313
  6. Step 6: Final answer
    x = 543,203.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.