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Finding the Third Proportional to 252,106,668 and 548,384,904

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Solution

The third proportional to 252,106,668 and 548,384,904 is: 1,192,852,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,106,668 : 548,384,904 = 548,384,904 : x
  2. Step 2: Convert to fraction form
    252,106,668/548,384,904 = 548,384,904/x
  3. Step 3: Cross multiply
    252,106,668x = 548,384,904 × 548,384,904
  4. Step 4: Simplify right side
    252,106,668x = 300,726,002,935,089,216
  5. Step 5: Solve for x
    x = 300,726,002,935,089,216/252,106,668
  6. Step 6: Final answer
    x = 1,192,852,237.19

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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.