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Finding the Third Proportional to 100,925 and 219,322

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Solution

The third proportional to 100,925 and 219,322 is: 476,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,925 : 219,322 = 219,322 : x
  2. Step 2: Convert to fraction form
    100,925/219,322 = 219,322/x
  3. Step 3: Cross multiply
    100,925x = 219,322 × 219,322
  4. Step 4: Simplify right side
    100,925x = 48,102,139,684
  5. Step 5: Solve for x
    x = 48,102,139,684/100,925
  6. Step 6: Final answer
    x = 476,612.73

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Why These Related Problems?

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