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Finding the Third Proportional to 108,449,262 and 165,214,971

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Solution

The third proportional to 108,449,262 and 165,214,971 is: 251,693,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,449,262 : 165,214,971 = 165,214,971 : x
  2. Step 2: Convert to fraction form
    108,449,262/165,214,971 = 165,214,971/x
  3. Step 3: Cross multiply
    108,449,262x = 165,214,971 × 165,214,971
  4. Step 4: Simplify right side
    108,449,262x = 27,295,986,642,530,840
  5. Step 5: Solve for x
    x = 27,295,986,642,530,840/108,449,262
  6. Step 6: Final answer
    x = 251,693,613.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.