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Finding the Third Proportional to 109,044.50 and 222,098.50

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Solution

The third proportional to 109,044.50 and 222,098.50 is: 452,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,044.50 : 222,098.50 = 222,098.50 : x
  2. Step 2: Convert to fraction form
    109,044.50/222,098.50 = 222,098.50/x
  3. Step 3: Cross multiply
    109,044.50x = 222,098.50 × 222,098.50
  4. Step 4: Simplify right side
    109,044.50x = 49,327,743,702.25
  5. Step 5: Solve for x
    x = 49,327,743,702.25/109,044.50
  6. Step 6: Final answer
    x = 452,363.43

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.