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Finding the Third Proportional to 101,223,284,823 and 217,680,325,911

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Solution

The third proportional to 101,223,284,823 and 217,680,325,911 is: 468,120,792,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,223,284,823 : 217,680,325,911 = 217,680,325,911 : x
  2. Step 2: Convert to fraction form
    101,223,284,823/217,680,325,911 = 217,680,325,911/x
  3. Step 3: Cross multiply
    101,223,284,823x = 217,680,325,911 × 217,680,325,911
  4. Step 4: Simplify right side
    101,223,284,823x = 47,384,724,288,719,181,316,096
  5. Step 5: Solve for x
    x = 47,384,724,288,719,181,316,096/101,223,284,823
  6. Step 6: Final answer
    x = 468,120,792,281.90

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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.