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Finding the Third Proportional to 153,313,179 and 334,374,443

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Solution

The third proportional to 153,313,179 and 334,374,443 is: 729,267,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,313,179 : 334,374,443 = 334,374,443 : x
  2. Step 2: Convert to fraction form
    153,313,179/334,374,443 = 334,374,443/x
  3. Step 3: Cross multiply
    153,313,179x = 334,374,443 × 334,374,443
  4. Step 4: Simplify right side
    153,313,179x = 111,806,268,131,560,256
  5. Step 5: Solve for x
    x = 111,806,268,131,560,256/153,313,179
  6. Step 6: Final answer
    x = 729,267,169.73

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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.