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Finding the Third Proportional to 186,449,652 and 282,263,958

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Solution

The third proportional to 186,449,652 and 282,263,958 is: 427,316,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,449,652 : 282,263,958 = 282,263,958 : x
  2. Step 2: Convert to fraction form
    186,449,652/282,263,958 = 282,263,958/x
  3. Step 3: Cross multiply
    186,449,652x = 282,263,958 × 282,263,958
  4. Step 4: Simplify right side
    186,449,652x = 79,672,941,985,825,760
  5. Step 5: Solve for x
    x = 79,672,941,985,825,760/186,449,652
  6. Step 6: Final answer
    x = 427,316,120.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.