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Finding the Third Proportional to 114,873,388,434 and 176,459,589,531

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Solution

The third proportional to 114,873,388,434 and 176,459,589,531 is: 271,063,534,922.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,873,388,434 : 176,459,589,531 = 176,459,589,531 : x
  2. Step 2: Convert to fraction form
    114,873,388,434/176,459,589,531 = 176,459,589,531/x
  3. Step 3: Cross multiply
    114,873,388,434x = 176,459,589,531 × 176,459,589,531
  4. Step 4: Simplify right side
    114,873,388,434x = 31,137,986,737,449,006,530,560
  5. Step 5: Solve for x
    x = 31,137,986,737,449,006,530,560/114,873,388,434
  6. Step 6: Final answer
    x = 271,063,534,922.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.