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Finding the Third Proportional to 150,777,036 and 328,252,644

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Solution

The third proportional to 150,777,036 and 328,252,644 is: 714,630,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,777,036 : 328,252,644 = 328,252,644 : x
  2. Step 2: Convert to fraction form
    150,777,036/328,252,644 = 328,252,644/x
  3. Step 3: Cross multiply
    150,777,036x = 328,252,644 × 328,252,644
  4. Step 4: Simplify right side
    150,777,036x = 107,749,798,292,990,736
  5. Step 5: Solve for x
    x = 107,749,798,292,990,736/150,777,036
  6. Step 6: Final answer
    x = 714,630,033.54

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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.