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Finding the Third Proportional to 196,943,181 and 455,887,812

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Solution

The third proportional to 196,943,181 and 455,887,812 is: 1,055,297,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,943,181 : 455,887,812 = 455,887,812 : x
  2. Step 2: Convert to fraction form
    196,943,181/455,887,812 = 455,887,812/x
  3. Step 3: Cross multiply
    196,943,181x = 455,887,812 × 455,887,812
  4. Step 4: Simplify right side
    196,943,181x = 207,833,697,130,147,328
  5. Step 5: Solve for x
    x = 207,833,697,130,147,328/196,943,181
  6. Step 6: Final answer
    x = 1,055,297,756.82

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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.