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Finding the Third Proportional to 49,869 and 106,683.75

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Solution

The third proportional to 49,869 and 106,683.75 is: 228,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,869 : 106,683.75 = 106,683.75 : x
  2. Step 2: Convert to fraction form
    49,869/106,683.75 = 106,683.75/x
  3. Step 3: Cross multiply
    49,869x = 106,683.75 × 106,683.75
  4. Step 4: Simplify right side
    49,869x = 11,381,422,514.06
  5. Step 5: Solve for x
    x = 11,381,422,514.06/49,869
  6. Step 6: Final answer
    x = 228,226.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.