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Finding the Third Proportional to 103,097 and 223,042

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Solution

The third proportional to 103,097 and 223,042 is: 482,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,097 : 223,042 = 223,042 : x
  2. Step 2: Convert to fraction form
    103,097/223,042 = 223,042/x
  3. Step 3: Cross multiply
    103,097x = 223,042 × 223,042
  4. Step 4: Simplify right side
    103,097x = 49,747,733,764
  5. Step 5: Solve for x
    x = 49,747,733,764/103,097
  6. Step 6: Final answer
    x = 482,533.28

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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.