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Finding the Third Proportional to 99,284 and 193,584

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Solution

The third proportional to 99,284 and 193,584 is: 377,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,284 : 193,584 = 193,584 : x
  2. Step 2: Convert to fraction form
    99,284/193,584 = 193,584/x
  3. Step 3: Cross multiply
    99,284x = 193,584 × 193,584
  4. Step 4: Simplify right side
    99,284x = 37,474,765,056
  5. Step 5: Solve for x
    x = 37,474,765,056/99,284
  6. Step 6: Final answer
    x = 377,450.19

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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.