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Finding the Third Proportional to 99,038 and 193,115

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Solution

The third proportional to 99,038 and 193,115 is: 376,556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,038 : 193,115 = 193,115 : x
  2. Step 2: Convert to fraction form
    99,038/193,115 = 193,115/x
  3. Step 3: Cross multiply
    99,038x = 193,115 × 193,115
  4. Step 4: Simplify right side
    99,038x = 37,293,403,225
  5. Step 5: Solve for x
    x = 37,293,403,225/99,038
  6. Step 6: Final answer
    x = 376,556.51

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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.