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Finding the Third Proportional to 85,723,872 and 188,095,866

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Solution

The third proportional to 85,723,872 and 188,095,866 is: 412,721,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,723,872 : 188,095,866 = 188,095,866 : x
  2. Step 2: Convert to fraction form
    85,723,872/188,095,866 = 188,095,866/x
  3. Step 3: Cross multiply
    85,723,872x = 188,095,866 × 188,095,866
  4. Step 4: Simplify right side
    85,723,872x = 35,380,054,806,289,956
  5. Step 5: Solve for x
    x = 35,380,054,806,289,956/85,723,872
  6. Step 6: Final answer
    x = 412,721,147.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.