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Finding the Third Proportional to 104,548 and 218,816

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Solution

The third proportional to 104,548 and 218,816 is: 457,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,548 : 218,816 = 218,816 : x
  2. Step 2: Convert to fraction form
    104,548/218,816 = 218,816/x
  3. Step 3: Cross multiply
    104,548x = 218,816 × 218,816
  4. Step 4: Simplify right side
    104,548x = 47,880,441,856
  5. Step 5: Solve for x
    x = 47,880,441,856/104,548
  6. Step 6: Final answer
    x = 457,975.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.