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Finding the Third Proportional to 98,950 and 220,046

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Solution

The third proportional to 98,950 and 220,046 is: 489,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,950 : 220,046 = 220,046 : x
  2. Step 2: Convert to fraction form
    98,950/220,046 = 220,046/x
  3. Step 3: Cross multiply
    98,950x = 220,046 × 220,046
  4. Step 4: Simplify right side
    98,950x = 48,420,242,116
  5. Step 5: Solve for x
    x = 48,420,242,116/98,950
  6. Step 6: Final answer
    x = 489,340.50

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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.