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Finding the Third Proportional to 96,968,844 and 209,319,912

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Solution

The third proportional to 96,968,844 and 209,319,912 is: 451,844,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,968,844 : 209,319,912 = 209,319,912 : x
  2. Step 2: Convert to fraction form
    96,968,844/209,319,912 = 209,319,912/x
  3. Step 3: Cross multiply
    96,968,844x = 209,319,912 × 209,319,912
  4. Step 4: Simplify right side
    96,968,844x = 43,814,825,559,687,744
  5. Step 5: Solve for x
    x = 43,814,825,559,687,744/96,968,844
  6. Step 6: Final answer
    x = 451,844,363.12

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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.