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Finding the Third Proportional to 47,703.94 and 102,994.03

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Solution

The third proportional to 47,703.94 and 102,994.03 is: 222,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.94 : 102,994.03 = 102,994.03 : x
  2. Step 2: Convert to fraction form
    47,703.94/102,994.03 = 102,994.03/x
  3. Step 3: Cross multiply
    47,703.94x = 102,994.03 × 102,994.03
  4. Step 4: Simplify right side
    47,703.94x = 10,607,770,473.13
  5. Step 5: Solve for x
    x = 10,607,770,473.13/47,703.94
  6. Step 6: Final answer
    x = 222,366.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.