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Finding the Third Proportional to 98,914 and 219,940

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Solution

The third proportional to 98,914 and 219,940 is: 489,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,914 : 219,940 = 219,940 : x
  2. Step 2: Convert to fraction form
    98,914/219,940 = 219,940/x
  3. Step 3: Cross multiply
    98,914x = 219,940 × 219,940
  4. Step 4: Simplify right side
    98,914x = 48,373,603,600
  5. Step 5: Solve for x
    x = 48,373,603,600/98,914
  6. Step 6: Final answer
    x = 489,047.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.