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Finding the Third Proportional to 101,223,284,825 and 217,680,325,915

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Solution

The third proportional to 101,223,284,825 and 217,680,325,915 is: 468,120,792,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,223,284,825 : 217,680,325,915 = 217,680,325,915 : x
  2. Step 2: Convert to fraction form
    101,223,284,825/217,680,325,915 = 217,680,325,915/x
  3. Step 3: Cross multiply
    101,223,284,825x = 217,680,325,915 × 217,680,325,915
  4. Step 4: Simplify right side
    101,223,284,825x = 47,384,724,290,460,622,782,464
  5. Step 5: Solve for x
    x = 47,384,724,290,460,622,782,464/101,223,284,825
  6. Step 6: Final answer
    x = 468,120,792,289.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.