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Finding the Third Proportional to 108,743,626 and 164,694,834

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Solution

The third proportional to 108,743,626 and 164,694,834 is: 249,434,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,743,626 : 164,694,834 = 164,694,834 : x
  2. Step 2: Convert to fraction form
    108,743,626/164,694,834 = 164,694,834/x
  3. Step 3: Cross multiply
    108,743,626x = 164,694,834 × 164,694,834
  4. Step 4: Simplify right side
    108,743,626x = 27,124,388,346,287,556
  5. Step 5: Solve for x
    x = 27,124,388,346,287,556/108,743,626
  6. Step 6: Final answer
    x = 249,434,282.67

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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.