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Finding the Third Proportional to 47,035.69 and 96,364.69

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Solution

The third proportional to 47,035.69 and 96,364.69 is: 197,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,035.69 : 96,364.69 = 96,364.69 : x
  2. Step 2: Convert to fraction form
    47,035.69/96,364.69 = 96,364.69/x
  3. Step 3: Cross multiply
    47,035.69x = 96,364.69 × 96,364.69
  4. Step 4: Simplify right side
    47,035.69x = 9,286,152,996.97
  5. Step 5: Solve for x
    x = 9,286,152,996.97/47,035.69
  6. Step 6: Final answer
    x = 197,427.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.