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Finding the Third Proportional to 98,903 and 219,919

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Solution

The third proportional to 98,903 and 219,919 is: 489,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,903 : 219,919 = 219,919 : x
  2. Step 2: Convert to fraction form
    98,903/219,919 = 219,919/x
  3. Step 3: Cross multiply
    98,903x = 219,919 × 219,919
  4. Step 4: Simplify right side
    98,903x = 48,364,366,561
  5. Step 5: Solve for x
    x = 48,364,366,561/98,903
  6. Step 6: Final answer
    x = 489,008.08

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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.