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Finding the Third Proportional to 193,491,932 and 420,994,265.50

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Solution

The third proportional to 193,491,932 and 420,994,265.50 is: 915,987,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,491,932 : 420,994,265.50 = 420,994,265.50 : x
  2. Step 2: Convert to fraction form
    193,491,932/420,994,265.50 = 420,994,265.50/x
  3. Step 3: Cross multiply
    193,491,932x = 420,994,265.50 × 420,994,265.50
  4. Step 4: Simplify right side
    193,491,932x = 177,236,171,583,884,480
  5. Step 5: Solve for x
    x = 177,236,171,583,884,480/193,491,932
  6. Step 6: Final answer
    x = 915,987,399.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.