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Finding the Third Proportional to 199,002,369 and 430,601,244

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Solution

The third proportional to 199,002,369 and 430,601,244 is: 931,734,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,002,369 : 430,601,244 = 430,601,244 : x
  2. Step 2: Convert to fraction form
    199,002,369/430,601,244 = 430,601,244/x
  3. Step 3: Cross multiply
    199,002,369x = 430,601,244 × 430,601,244
  4. Step 4: Simplify right side
    199,002,369x = 185,417,431,334,347,520
  5. Step 5: Solve for x
    x = 185,417,431,334,347,520/199,002,369
  6. Step 6: Final answer
    x = 931,734,794.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.