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Finding the Third Proportional to 264,102,192 and 579,222,648

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Solution

The third proportional to 264,102,192 and 579,222,648 is: 1,270,337,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,102,192 : 579,222,648 = 579,222,648 : x
  2. Step 2: Convert to fraction form
    264,102,192/579,222,648 = 579,222,648/x
  3. Step 3: Cross multiply
    264,102,192x = 579,222,648 × 579,222,648
  4. Step 4: Simplify right side
    264,102,192x = 335,498,875,956,131,904
  5. Step 5: Solve for x
    x = 335,498,875,956,131,904/264,102,192
  6. Step 6: Final answer
    x = 1,270,337,339.56

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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.