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Finding the Third Proportional to 99,348 and 193,716

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Solution

The third proportional to 99,348 and 193,716 is: 377,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,348 : 193,716 = 193,716 : x
  2. Step 2: Convert to fraction form
    99,348/193,716 = 193,716/x
  3. Step 3: Cross multiply
    99,348x = 193,716 × 193,716
  4. Step 4: Simplify right side
    99,348x = 37,525,888,656
  5. Step 5: Solve for x
    x = 37,525,888,656/99,348
  6. Step 6: Final answer
    x = 377,721.63

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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.