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Finding the Third Proportional to 95,199,738 and 206,245,659

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Solution

The third proportional to 95,199,738 and 206,245,659 is: 446,821,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,199,738 : 206,245,659 = 206,245,659 : x
  2. Step 2: Convert to fraction form
    95,199,738/206,245,659 = 206,245,659/x
  3. Step 3: Cross multiply
    95,199,738x = 206,245,659 × 206,245,659
  4. Step 4: Simplify right side
    95,199,738x = 42,537,271,856,344,280
  5. Step 5: Solve for x
    x = 42,537,271,856,344,280/95,199,738
  6. Step 6: Final answer
    x = 446,821,312.22

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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.