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Finding the Third Proportional to 164,568,735 and 241,397,452.97

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Solution

The third proportional to 164,568,735 and 241,397,452.97 is: 354,093,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,568,735 : 241,397,452.97 = 241,397,452.97 : x
  2. Step 2: Convert to fraction form
    164,568,735/241,397,452.97 = 241,397,452.97/x
  3. Step 3: Cross multiply
    164,568,735x = 241,397,452.97 × 241,397,452.97
  4. Step 4: Simplify right side
    164,568,735x = 58,272,730,299,799,872
  5. Step 5: Solve for x
    x = 58,272,730,299,799,872/164,568,735
  6. Step 6: Final answer
    x = 354,093,566.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.