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Finding the Third Proportional to 103,072.25 and 223,769.50

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Solution

The third proportional to 103,072.25 and 223,769.50 is: 485,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,072.25 : 223,769.50 = 223,769.50 : x
  2. Step 2: Convert to fraction form
    103,072.25/223,769.50 = 223,769.50/x
  3. Step 3: Cross multiply
    103,072.25x = 223,769.50 × 223,769.50
  4. Step 4: Simplify right side
    103,072.25x = 50,072,789,130.25
  5. Step 5: Solve for x
    x = 50,072,789,130.25/103,072.25
  6. Step 6: Final answer
    x = 485,802.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.