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Finding the Third Proportional to 215,265,471,462 and 461,235,622,837.50

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Solution

The third proportional to 215,265,471,462 and 461,235,622,837.50 is: 988,260,208,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,265,471,462 : 461,235,622,837.50 = 461,235,622,837.50 : x
  2. Step 2: Convert to fraction form
    215,265,471,462/461,235,622,837.50 = 461,235,622,837.50/x
  3. Step 3: Cross multiply
    215,265,471,462x = 461,235,622,837.50 × 461,235,622,837.50
  4. Step 4: Simplify right side
    215,265,471,462x = 212,738,299,774,296,559,452,160
  5. Step 5: Solve for x
    x = 212,738,299,774,296,559,452,160/215,265,471,462
  6. Step 6: Final answer
    x = 988,260,208,799.21

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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.