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Finding the Third Proportional to 98,906 and 219,924

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Solution

The third proportional to 98,906 and 219,924 is: 489,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,906 : 219,924 = 219,924 : x
  2. Step 2: Convert to fraction form
    98,906/219,924 = 219,924/x
  3. Step 3: Cross multiply
    98,906x = 219,924 × 219,924
  4. Step 4: Simplify right side
    98,906x = 48,366,565,776
  5. Step 5: Solve for x
    x = 48,366,565,776/98,906
  6. Step 6: Final answer
    x = 489,015.49

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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.