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Finding the Third Proportional to 95,449.78 and 197,505.84

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Solution

The third proportional to 95,449.78 and 197,505.84 is: 408,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,449.78 : 197,505.84 = 197,505.84 : x
  2. Step 2: Convert to fraction form
    95,449.78/197,505.84 = 197,505.84/x
  3. Step 3: Cross multiply
    95,449.78x = 197,505.84 × 197,505.84
  4. Step 4: Simplify right side
    95,449.78x = 39,008,558,315.40
  5. Step 5: Solve for x
    x = 39,008,558,315.40/95,449.78
  6. Step 6: Final answer
    x = 408,681.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.