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Finding the Third Proportional to 99,154.50 and 193,326

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Solution

The third proportional to 99,154.50 and 193,326 is: 376,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,154.50 : 193,326 = 193,326 : x
  2. Step 2: Convert to fraction form
    99,154.50/193,326 = 193,326/x
  3. Step 3: Cross multiply
    99,154.50x = 193,326 × 193,326
  4. Step 4: Simplify right side
    99,154.50x = 37,374,942,276
  5. Step 5: Solve for x
    x = 37,374,942,276/99,154.50
  6. Step 6: Final answer
    x = 376,936.42

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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.