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Finding the Third Proportional to 186,699,659,994 and 401,715,770,937.18

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Solution

The third proportional to 186,699,659,994 and 401,715,770,937.18 is: 864,359,156,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,699,659,994 : 401,715,770,937.18 = 401,715,770,937.18 : x
  2. Step 2: Convert to fraction form
    186,699,659,994/401,715,770,937.18 = 401,715,770,937.18/x
  3. Step 3: Cross multiply
    186,699,659,994x = 401,715,770,937.18 × 401,715,770,937.18
  4. Step 4: Simplify right side
    186,699,659,994x = 161,375,560,619,652,877,910,016
  5. Step 5: Solve for x
    x = 161,375,560,619,652,877,910,016/186,699,659,994
  6. Step 6: Final answer
    x = 864,359,156,437.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.