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Finding the Third Proportional to 101,223,284,506.50 and 217,680,325,281

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Solution

The third proportional to 101,223,284,506.50 and 217,680,325,281 is: 468,120,791,035.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,223,284,506.50 : 217,680,325,281 = 217,680,325,281 : x
  2. Step 2: Convert to fraction form
    101,223,284,506.50/217,680,325,281 = 217,680,325,281/x
  3. Step 3: Cross multiply
    101,223,284,506.50x = 217,680,325,281 × 217,680,325,281
  4. Step 4: Simplify right side
    101,223,284,506.50x = 47,384,724,014,441,965,813,760
  5. Step 5: Solve for x
    x = 47,384,724,014,441,965,813,760/101,223,284,506.50
  6. Step 6: Final answer
    x = 468,120,791,035.97

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