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Finding the Third Proportional to 213,743,172 and 466,839,216

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Solution

The third proportional to 213,743,172 and 466,839,216 is: 1,019,629,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,743,172 : 466,839,216 = 466,839,216 : x
  2. Step 2: Convert to fraction form
    213,743,172/466,839,216 = 466,839,216/x
  3. Step 3: Cross multiply
    213,743,172x = 466,839,216 × 466,839,216
  4. Step 4: Simplify right side
    213,743,172x = 217,938,853,595,494,656
  5. Step 5: Solve for x
    x = 217,938,853,595,494,656/213,743,172
  6. Step 6: Final answer
    x = 1,019,629,546.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.