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Finding the Third Proportional to 98,219,493 and 213,876,896

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Solution

The third proportional to 98,219,493 and 213,876,896 is: 465,725,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,219,493 : 213,876,896 = 213,876,896 : x
  2. Step 2: Convert to fraction form
    98,219,493/213,876,896 = 213,876,896/x
  3. Step 3: Cross multiply
    98,219,493x = 213,876,896 × 213,876,896
  4. Step 4: Simplify right side
    98,219,493x = 45,743,326,642,594,816
  5. Step 5: Solve for x
    x = 45,743,326,642,594,816/98,219,493
  6. Step 6: Final answer
    x = 465,725,542.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.