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Finding the Third Proportional to 99,442 and 193,844

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Solution

The third proportional to 99,442 and 193,844 is: 377,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,442 : 193,844 = 193,844 : x
  2. Step 2: Convert to fraction form
    99,442/193,844 = 193,844/x
  3. Step 3: Cross multiply
    99,442x = 193,844 × 193,844
  4. Step 4: Simplify right side
    99,442x = 37,575,496,336
  5. Step 5: Solve for x
    x = 37,575,496,336/99,442
  6. Step 6: Final answer
    x = 377,863.44

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.