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Finding the Third Proportional to 105,482.25 and 214,881

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Solution

The third proportional to 105,482.25 and 214,881 is: 437,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,482.25 : 214,881 = 214,881 : x
  2. Step 2: Convert to fraction form
    105,482.25/214,881 = 214,881/x
  3. Step 3: Cross multiply
    105,482.25x = 214,881 × 214,881
  4. Step 4: Simplify right side
    105,482.25x = 46,173,844,161
  5. Step 5: Solve for x
    x = 46,173,844,161/105,482.25
  6. Step 6: Final answer
    x = 437,740.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.