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Finding the Third Proportional to 110,781,116 and 256,438,224

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Solution

The third proportional to 110,781,116 and 256,438,224 is: 593,608,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,781,116 : 256,438,224 = 256,438,224 : x
  2. Step 2: Convert to fraction form
    110,781,116/256,438,224 = 256,438,224/x
  3. Step 3: Cross multiply
    110,781,116x = 256,438,224 × 256,438,224
  4. Step 4: Simplify right side
    110,781,116x = 65,760,562,728,274,176
  5. Step 5: Solve for x
    x = 65,760,562,728,274,176/110,781,116
  6. Step 6: Final answer
    x = 593,608,054.36

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.