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Finding the Third Proportional to 150,132,798 and 323,302,002

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Solution

The third proportional to 150,132,798 and 323,302,002 is: 696,211,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,132,798 : 323,302,002 = 323,302,002 : x
  2. Step 2: Convert to fraction form
    150,132,798/323,302,002 = 323,302,002/x
  3. Step 3: Cross multiply
    150,132,798x = 323,302,002 × 323,302,002
  4. Step 4: Simplify right side
    150,132,798x = 104,524,184,497,208,000
  5. Step 5: Solve for x
    x = 104,524,184,497,208,000/150,132,798
  6. Step 6: Final answer
    x = 696,211,526.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.