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Finding the Third Proportional to 150,911,624 and 323,336,768

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Solution

The third proportional to 150,911,624 and 323,336,768 is: 692,767,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,911,624 : 323,336,768 = 323,336,768 : x
  2. Step 2: Convert to fraction form
    150,911,624/323,336,768 = 323,336,768/x
  3. Step 3: Cross multiply
    150,911,624x = 323,336,768 × 323,336,768
  4. Step 4: Simplify right side
    150,911,624x = 104,546,665,540,685,824
  5. Step 5: Solve for x
    x = 104,546,665,540,685,824/150,911,624
  6. Step 6: Final answer
    x = 692,767,480.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.