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Finding the Third Proportional to 98,219,488 and 213,876,886

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Solution

The third proportional to 98,219,488 and 213,876,886 is: 465,725,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,219,488 : 213,876,886 = 213,876,886 : x
  2. Step 2: Convert to fraction form
    98,219,488/213,876,886 = 213,876,886/x
  3. Step 3: Cross multiply
    98,219,488x = 213,876,886 × 213,876,886
  4. Step 4: Simplify right side
    98,219,488x = 45,743,322,365,056,992
  5. Step 5: Solve for x
    x = 45,743,322,365,056,992/98,219,488
  6. Step 6: Final answer
    x = 465,725,522.47

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Why These Related Problems?

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