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Finding the Third Proportional to 182,173,224 and 396,692,179

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Solution

The third proportional to 182,173,224 and 396,692,179 is: 863,818,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,173,224 : 396,692,179 = 396,692,179 : x
  2. Step 2: Convert to fraction form
    182,173,224/396,692,179 = 396,692,179/x
  3. Step 3: Cross multiply
    182,173,224x = 396,692,179 × 396,692,179
  4. Step 4: Simplify right side
    182,173,224x = 157,364,684,879,768,032
  5. Step 5: Solve for x
    x = 157,364,684,879,768,032/182,173,224
  6. Step 6: Final answer
    x = 863,818,959.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.