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Finding the Third Proportional to 96,968,714 and 209,319,616

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Solution

The third proportional to 96,968,714 and 209,319,616 is: 451,843,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,968,714 : 209,319,616 = 209,319,616 : x
  2. Step 2: Convert to fraction form
    96,968,714/209,319,616 = 209,319,616/x
  3. Step 3: Cross multiply
    96,968,714x = 209,319,616 × 209,319,616
  4. Step 4: Simplify right side
    96,968,714x = 43,814,701,642,387,456
  5. Step 5: Solve for x
    x = 43,814,701,642,387,456/96,968,714
  6. Step 6: Final answer
    x = 451,843,690.97

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