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Finding the Third Proportional to 46,505,016 and 108,622,194.75

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Solution

The third proportional to 46,505,016 and 108,622,194.75 is: 253,709,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,505,016 : 108,622,194.75 = 108,622,194.75 : x
  2. Step 2: Convert to fraction form
    46,505,016/108,622,194.75 = 108,622,194.75/x
  3. Step 3: Cross multiply
    46,505,016x = 108,622,194.75 × 108,622,194.75
  4. Step 4: Simplify right side
    46,505,016x = 11,798,781,192,306,928
  5. Step 5: Solve for x
    x = 11,798,781,192,306,928/46,505,016
  6. Step 6: Final answer
    x = 253,709,862.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.