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Finding the Third Proportional to 222,835,824 and 488,718,372

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Solution

The third proportional to 222,835,824 and 488,718,372 is: 1,071,845,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,835,824 : 488,718,372 = 488,718,372 : x
  2. Step 2: Convert to fraction form
    222,835,824/488,718,372 = 488,718,372/x
  3. Step 3: Cross multiply
    222,835,824x = 488,718,372 × 488,718,372
  4. Step 4: Simplify right side
    222,835,824x = 238,845,647,130,330,368
  5. Step 5: Solve for x
    x = 238,845,647,130,330,368/222,835,824
  6. Step 6: Final answer
    x = 1,071,845,822.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.