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Finding the Third Proportional to 213,743,180 and 466,839,232

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Solution

The third proportional to 213,743,180 and 466,839,232 is: 1,019,629,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,743,180 : 466,839,232 = 466,839,232 : x
  2. Step 2: Convert to fraction form
    213,743,180/466,839,232 = 466,839,232/x
  3. Step 3: Cross multiply
    213,743,180x = 466,839,232 × 466,839,232
  4. Step 4: Simplify right side
    213,743,180x = 217,938,868,534,349,824
  5. Step 5: Solve for x
    x = 217,938,868,534,349,824/213,743,180
  6. Step 6: Final answer
    x = 1,019,629,578.52

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