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Finding the Third Proportional to 98,946 and 220,044

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Solution

The third proportional to 98,946 and 220,044 is: 489,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,946 : 220,044 = 220,044 : x
  2. Step 2: Convert to fraction form
    98,946/220,044 = 220,044/x
  3. Step 3: Cross multiply
    98,946x = 220,044 × 220,044
  4. Step 4: Simplify right side
    98,946x = 48,419,361,936
  5. Step 5: Solve for x
    x = 48,419,361,936/98,946
  6. Step 6: Final answer
    x = 489,351.38

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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.