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Finding the Third Proportional to 103,902.75 and 224,020.69

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Solution

The third proportional to 103,902.75 and 224,020.69 is: 483,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,902.75 : 224,020.69 = 224,020.69 : x
  2. Step 2: Convert to fraction form
    103,902.75/224,020.69 = 224,020.69/x
  3. Step 3: Cross multiply
    103,902.75x = 224,020.69 × 224,020.69
  4. Step 4: Simplify right side
    103,902.75x = 50,185,268,427.97
  5. Step 5: Solve for x
    x = 50,185,268,427.97/103,902.75
  6. Step 6: Final answer
    x = 483,002.31

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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.