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Finding the Third Proportional to 50,285.81 and 104,705.16

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Solution

The third proportional to 50,285.81 and 104,705.16 is: 218,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,285.81 : 104,705.16 = 104,705.16 : x
  2. Step 2: Convert to fraction form
    50,285.81/104,705.16 = 104,705.16/x
  3. Step 3: Cross multiply
    50,285.81x = 104,705.16 × 104,705.16
  4. Step 4: Simplify right side
    50,285.81x = 10,963,169,745.34
  5. Step 5: Solve for x
    x = 10,963,169,745.34/50,285.81
  6. Step 6: Final answer
    x = 218,017.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.