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Finding the Third Proportional to 103,903.13 and 223,696.50

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Solution

The third proportional to 103,903.13 and 223,696.50 is: 481,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,903.13 : 223,696.50 = 223,696.50 : x
  2. Step 2: Convert to fraction form
    103,903.13/223,696.50 = 223,696.50/x
  3. Step 3: Cross multiply
    103,903.13x = 223,696.50 × 223,696.50
  4. Step 4: Simplify right side
    103,903.13x = 50,040,124,112.25
  5. Step 5: Solve for x
    x = 50,040,124,112.25/103,903.13
  6. Step 6: Final answer
    x = 481,603.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.