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Finding the Third Proportional to 213,743,103 and 466,839,066

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Solution

The third proportional to 213,743,103 and 466,839,066 is: 1,019,629,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,743,103 : 466,839,066 = 466,839,066 : x
  2. Step 2: Convert to fraction form
    213,743,103/466,839,066 = 466,839,066/x
  3. Step 3: Cross multiply
    213,743,103x = 466,839,066 × 466,839,066
  4. Step 4: Simplify right side
    213,743,103x = 217,938,713,543,752,352
  5. Step 5: Solve for x
    x = 217,938,713,543,752,352/213,743,103
  6. Step 6: Final answer
    x = 1,019,629,220.71

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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.