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Finding the Third Proportional to 98,992 and 220,070

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Solution

The third proportional to 98,992 and 220,070 is: 489,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,992 : 220,070 = 220,070 : x
  2. Step 2: Convert to fraction form
    98,992/220,070 = 220,070/x
  3. Step 3: Cross multiply
    98,992x = 220,070 × 220,070
  4. Step 4: Simplify right side
    98,992x = 48,430,804,900
  5. Step 5: Solve for x
    x = 48,430,804,900/98,992
  6. Step 6: Final answer
    x = 489,239.58

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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.