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Finding the Third Proportional to 196,943,198 and 455,887,865

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Solution

The third proportional to 196,943,198 and 455,887,865 is: 1,055,297,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,943,198 : 455,887,865 = 455,887,865 : x
  2. Step 2: Convert to fraction form
    196,943,198/455,887,865 = 455,887,865/x
  3. Step 3: Cross multiply
    196,943,198x = 455,887,865 × 455,887,865
  4. Step 4: Simplify right side
    196,943,198x = 207,833,745,454,258,240
  5. Step 5: Solve for x
    x = 207,833,745,454,258,240/196,943,198
  6. Step 6: Final answer
    x = 1,055,297,911.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.