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Finding the Third Proportional to 199,002,373 and 430,601,251

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Solution

The third proportional to 199,002,373 and 430,601,251 is: 931,734,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,002,373 : 430,601,251 = 430,601,251 : x
  2. Step 2: Convert to fraction form
    199,002,373/430,601,251 = 430,601,251/x
  3. Step 3: Cross multiply
    199,002,373x = 430,601,251 × 430,601,251
  4. Step 4: Simplify right side
    199,002,373x = 185,417,437,362,764,992
  5. Step 5: Solve for x
    x = 185,417,437,362,764,992/199,002,373
  6. Step 6: Final answer
    x = 931,734,805.81

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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.