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Finding the Third Proportional to 103,890.09 and 224,000.44

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Solution

The third proportional to 103,890.09 and 224,000.44 is: 482,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,890.09 : 224,000.44 = 224,000.44 : x
  2. Step 2: Convert to fraction form
    103,890.09/224,000.44 = 224,000.44/x
  3. Step 3: Cross multiply
    103,890.09x = 224,000.44 × 224,000.44
  4. Step 4: Simplify right side
    103,890.09x = 50,176,196,000.19
  5. Step 5: Solve for x
    x = 50,176,196,000.19/103,890.09
  6. Step 6: Final answer
    x = 482,973.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.