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Finding the Third Proportional to 108,743,638 and 164,694,852

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Solution

The third proportional to 108,743,638 and 164,694,852 is: 249,434,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,743,638 : 164,694,852 = 164,694,852 : x
  2. Step 2: Convert to fraction form
    108,743,638/164,694,852 = 164,694,852/x
  3. Step 3: Cross multiply
    108,743,638x = 164,694,852 × 164,694,852
  4. Step 4: Simplify right side
    108,743,638x = 27,124,394,275,301,904
  5. Step 5: Solve for x
    x = 27,124,394,275,301,904/108,743,638
  6. Step 6: Final answer
    x = 249,434,309.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.