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Finding the Third Proportional to 158,795,082 and 343,971,198

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Solution

The third proportional to 158,795,082 and 343,971,198 is: 745,087,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,795,082 : 343,971,198 = 343,971,198 : x
  2. Step 2: Convert to fraction form
    158,795,082/343,971,198 = 343,971,198/x
  3. Step 3: Cross multiply
    158,795,082x = 343,971,198 × 343,971,198
  4. Step 4: Simplify right side
    158,795,082x = 118,316,185,053,555,200
  5. Step 5: Solve for x
    x = 118,316,185,053,555,200/158,795,082
  6. Step 6: Final answer
    x = 745,087,212.80

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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.