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Finding the Third Proportional to 215,265,471,441 and 461,235,622,791

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Solution

The third proportional to 215,265,471,441 and 461,235,622,791 is: 988,260,208,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,265,471,441 : 461,235,622,791 = 461,235,622,791 : x
  2. Step 2: Convert to fraction form
    215,265,471,441/461,235,622,791 = 461,235,622,791/x
  3. Step 3: Cross multiply
    215,265,471,441x = 461,235,622,791 × 461,235,622,791
  4. Step 4: Simplify right side
    215,265,471,441x = 212,738,299,731,401,647,325,184
  5. Step 5: Solve for x
    x = 212,738,299,731,401,647,325,184/215,265,471,441
  6. Step 6: Final answer
    x = 988,260,208,696.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.