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Finding the Third Proportional to 105,486.75 and 214,889.63

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Solution

The third proportional to 105,486.75 and 214,889.63 is: 437,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,486.75 : 214,889.63 = 214,889.63 : x
  2. Step 2: Convert to fraction form
    105,486.75/214,889.63 = 214,889.63/x
  3. Step 3: Cross multiply
    105,486.75x = 214,889.63 × 214,889.63
  4. Step 4: Simplify right side
    105,486.75x = 46,177,550,932.64
  5. Step 5: Solve for x
    x = 46,177,550,932.64/105,486.75
  6. Step 6: Final answer
    x = 437,756.88

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