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Finding the Third Proportional to 53,800,999 and 85,649,795

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Solution

The third proportional to 53,800,999 and 85,649,795 is: 136,352,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,800,999 : 85,649,795 = 85,649,795 : x
  2. Step 2: Convert to fraction form
    53,800,999/85,649,795 = 85,649,795/x
  3. Step 3: Cross multiply
    53,800,999x = 85,649,795 × 85,649,795
  4. Step 4: Simplify right side
    53,800,999x = 7,335,887,383,542,025
  5. Step 5: Solve for x
    x = 7,335,887,383,542,025/53,800,999
  6. Step 6: Final answer
    x = 136,352,252.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.