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Finding the Third Proportional to 99,468 and 193,896

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Solution

The third proportional to 99,468 and 193,896 is: 377,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,468 : 193,896 = 193,896 : x
  2. Step 2: Convert to fraction form
    99,468/193,896 = 193,896/x
  3. Step 3: Cross multiply
    99,468x = 193,896 × 193,896
  4. Step 4: Simplify right side
    99,468x = 37,595,658,816
  5. Step 5: Solve for x
    x = 37,595,658,816/99,468
  6. Step 6: Final answer
    x = 377,967.37

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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.