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Finding the Third Proportional to 85,910,554,079 and 174,270,741,162

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Solution

The third proportional to 85,910,554,079 and 174,270,741,162 is: 353,510,596,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,910,554,079 : 174,270,741,162 = 174,270,741,162 : x
  2. Step 2: Convert to fraction form
    85,910,554,079/174,270,741,162 = 174,270,741,162/x
  3. Step 3: Cross multiply
    85,910,554,079x = 174,270,741,162 × 174,270,741,162
  4. Step 4: Simplify right side
    85,910,554,079x = 30,370,291,225,152,802,783,232
  5. Step 5: Solve for x
    x = 30,370,291,225,152,802,783,232/85,910,554,079
  6. Step 6: Final answer
    x = 353,510,596,581.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.