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Finding the Third Proportional to 102,208 and 222,416

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Solution

The third proportional to 102,208 and 222,416 is: 484,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,208 : 222,416 = 222,416 : x
  2. Step 2: Convert to fraction form
    102,208/222,416 = 222,416/x
  3. Step 3: Cross multiply
    102,208x = 222,416 × 222,416
  4. Step 4: Simplify right side
    102,208x = 49,468,877,056
  5. Step 5: Solve for x
    x = 49,468,877,056/102,208
  6. Step 6: Final answer
    x = 484,002.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.