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Finding the Third Proportional to 186,699,660,005 and 401,715,770,959

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Solution

The third proportional to 186,699,660,005 and 401,715,770,959 is: 864,359,156,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,699,660,005 : 401,715,770,959 = 401,715,770,959 : x
  2. Step 2: Convert to fraction form
    186,699,660,005/401,715,770,959 = 401,715,770,959/x
  3. Step 3: Cross multiply
    186,699,660,005x = 401,715,770,959 × 401,715,770,959
  4. Step 4: Simplify right side
    186,699,660,005x = 161,375,560,637,183,760,007,168
  5. Step 5: Solve for x
    x = 161,375,560,637,183,760,007,168/186,699,660,005
  6. Step 6: Final answer
    x = 864,359,156,480.85

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