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Finding the Third Proportional to 103,250.25 and 218,907

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Solution

The third proportional to 103,250.25 and 218,907 is: 464,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,250.25 : 218,907 = 218,907 : x
  2. Step 2: Convert to fraction form
    103,250.25/218,907 = 218,907/x
  3. Step 3: Cross multiply
    103,250.25x = 218,907 × 218,907
  4. Step 4: Simplify right side
    103,250.25x = 47,920,274,649
  5. Step 5: Solve for x
    x = 47,920,274,649/103,250.25
  6. Step 6: Final answer
    x = 464,117.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.