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Finding the Third Proportional to 98,882 and 219,122

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Solution

The third proportional to 98,882 and 219,122 is: 485,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,882 : 219,122 = 219,122 : x
  2. Step 2: Convert to fraction form
    98,882/219,122 = 219,122/x
  3. Step 3: Cross multiply
    98,882x = 219,122 × 219,122
  4. Step 4: Simplify right side
    98,882x = 48,014,450,884
  5. Step 5: Solve for x
    x = 48,014,450,884/98,882
  6. Step 6: Final answer
    x = 485,573.22

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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.