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Finding the Third Proportional to 96,504,336 and 211,430,826

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Solution

The third proportional to 96,504,336 and 211,430,826 is: 463,222,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,504,336 : 211,430,826 = 211,430,826 : x
  2. Step 2: Convert to fraction form
    96,504,336/211,430,826 = 211,430,826/x
  3. Step 3: Cross multiply
    96,504,336x = 211,430,826 × 211,430,826
  4. Step 4: Simplify right side
    96,504,336x = 44,702,994,183,042,272
  5. Step 5: Solve for x
    x = 44,702,994,183,042,272/96,504,336
  6. Step 6: Final answer
    x = 463,222,649.22

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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.