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Finding the Third Proportional to 248,392,002.94 and 541,901,107.13

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Solution

The third proportional to 248,392,002.94 and 541,901,107.13 is: 1,182,231,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,392,002.94 : 541,901,107.13 = 541,901,107.13 : x
  2. Step 2: Convert to fraction form
    248,392,002.94/541,901,107.13 = 541,901,107.13/x
  3. Step 3: Cross multiply
    248,392,002.94x = 541,901,107.13 × 541,901,107.13
  4. Step 4: Simplify right side
    248,392,002.94x = 293,656,809,903,300,736
  5. Step 5: Solve for x
    x = 293,656,809,903,300,736/248,392,002.94
  6. Step 6: Final answer
    x = 1,182,231,337.69

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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.