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Finding the Third Proportional to 215,493,936,840 and 303,077,804,494.50

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Solution

The third proportional to 215,493,936,840 and 303,077,804,494.50 is: 426,258,654,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,493,936,840 : 303,077,804,494.50 = 303,077,804,494.50 : x
  2. Step 2: Convert to fraction form
    215,493,936,840/303,077,804,494.50 = 303,077,804,494.50/x
  3. Step 3: Cross multiply
    215,493,936,840x = 303,077,804,494.50 × 303,077,804,494.50
  4. Step 4: Simplify right side
    215,493,936,840x = 91,856,155,577,206,368,632,832
  5. Step 5: Solve for x
    x = 91,856,155,577,206,368,632,832/215,493,936,840
  6. Step 6: Final answer
    x = 426,258,654,531.93

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.