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Finding the Third Proportional to 158,278,416 and 343,628,616

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Solution

The third proportional to 158,278,416 and 343,628,616 is: 746,031,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,278,416 : 343,628,616 = 343,628,616 : x
  2. Step 2: Convert to fraction form
    158,278,416/343,628,616 = 343,628,616/x
  3. Step 3: Cross multiply
    158,278,416x = 343,628,616 × 343,628,616
  4. Step 4: Simplify right side
    158,278,416x = 118,080,625,734,075,456
  5. Step 5: Solve for x
    x = 118,080,625,734,075,456/158,278,416
  6. Step 6: Final answer
    x = 746,031,131.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.