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Finding the Third Proportional to 248,392,005 and 541,901,111

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Solution

The third proportional to 248,392,005 and 541,901,111 is: 1,182,231,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,392,005 : 541,901,111 = 541,901,111 : x
  2. Step 2: Convert to fraction form
    248,392,005/541,901,111 = 541,901,111/x
  3. Step 3: Cross multiply
    248,392,005x = 541,901,111 × 541,901,111
  4. Step 4: Simplify right side
    248,392,005x = 293,656,814,103,034,304
  5. Step 5: Solve for x
    x = 293,656,814,103,034,304/248,392,005
  6. Step 6: Final answer
    x = 1,182,231,344.78

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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.