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Finding the Third Proportional to 105,080.25 and 228,021

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Solution

The third proportional to 105,080.25 and 228,021 is: 494,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,080.25 : 228,021 = 228,021 : x
  2. Step 2: Convert to fraction form
    105,080.25/228,021 = 228,021/x
  3. Step 3: Cross multiply
    105,080.25x = 228,021 × 228,021
  4. Step 4: Simplify right side
    105,080.25x = 51,993,576,441
  5. Step 5: Solve for x
    x = 51,993,576,441/105,080.25
  6. Step 6: Final answer
    x = 494,798.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.