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Finding the Third Proportional to 103,044.50 and 224,234

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Solution

The third proportional to 103,044.50 and 224,234 is: 487,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,044.50 : 224,234 = 224,234 : x
  2. Step 2: Convert to fraction form
    103,044.50/224,234 = 224,234/x
  3. Step 3: Cross multiply
    103,044.50x = 224,234 × 224,234
  4. Step 4: Simplify right side
    103,044.50x = 50,280,886,756
  5. Step 5: Solve for x
    x = 50,280,886,756/103,044.50
  6. Step 6: Final answer
    x = 487,953.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.