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Finding the Third Proportional to 186,699,659,897.25 and 401,715,770,744.25

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Solution

The third proportional to 186,699,659,897.25 and 401,715,770,744.25 is: 864,359,156,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,699,659,897.25 : 401,715,770,744.25 = 401,715,770,744.25 : x
  2. Step 2: Convert to fraction form
    186,699,659,897.25/401,715,770,744.25 = 401,715,770,744.25/x
  3. Step 3: Cross multiply
    186,699,659,897.25x = 401,715,770,744.25 × 401,715,770,744.25
  4. Step 4: Simplify right side
    186,699,659,897.25x = 161,375,560,464,646,837,108,736
  5. Step 5: Solve for x
    x = 161,375,560,464,646,837,108,736/186,699,659,897.25
  6. Step 6: Final answer
    x = 864,359,156,055.56

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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.