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Finding the Third Proportional to 192,501,687 and 415,684,806

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Solution

The third proportional to 192,501,687 and 415,684,806 is: 897,622,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,501,687 : 415,684,806 = 415,684,806 : x
  2. Step 2: Convert to fraction form
    192,501,687/415,684,806 = 415,684,806/x
  3. Step 3: Cross multiply
    192,501,687x = 415,684,806 × 415,684,806
  4. Step 4: Simplify right side
    192,501,687x = 172,793,857,939,257,632
  5. Step 5: Solve for x
    x = 172,793,857,939,257,632/192,501,687
  6. Step 6: Final answer
    x = 897,622,564.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.