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Finding the Third Proportional to 103,816 and 227,728

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Solution

The third proportional to 103,816 and 227,728 is: 499,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,816 : 227,728 = 227,728 : x
  2. Step 2: Convert to fraction form
    103,816/227,728 = 227,728/x
  3. Step 3: Cross multiply
    103,816x = 227,728 × 227,728
  4. Step 4: Simplify right side
    103,816x = 51,860,041,984
  5. Step 5: Solve for x
    x = 51,860,041,984/103,816
  6. Step 6: Final answer
    x = 499,538.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.