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Finding the Third Proportional to 85,910,554,081 and 174,270,741,166

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Solution

The third proportional to 85,910,554,081 and 174,270,741,166 is: 353,510,596,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,910,554,081 : 174,270,741,166 = 174,270,741,166 : x
  2. Step 2: Convert to fraction form
    85,910,554,081/174,270,741,166 = 174,270,741,166/x
  3. Step 3: Cross multiply
    85,910,554,081x = 174,270,741,166 × 174,270,741,166
  4. Step 4: Simplify right side
    85,910,554,081x = 30,370,291,226,546,968,461,312
  5. Step 5: Solve for x
    x = 30,370,291,226,546,968,461,312/85,910,554,081
  6. Step 6: Final answer
    x = 353,510,596,589.94

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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.