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Finding the Third Proportional to 126,328,086 and 185,112,216

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Solution

The third proportional to 126,328,086 and 185,112,216 is: 271,250,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,328,086 : 185,112,216 = 185,112,216 : x
  2. Step 2: Convert to fraction form
    126,328,086/185,112,216 = 185,112,216/x
  3. Step 3: Cross multiply
    126,328,086x = 185,112,216 × 185,112,216
  4. Step 4: Simplify right side
    126,328,086x = 34,266,532,512,430,656
  5. Step 5: Solve for x
    x = 34,266,532,512,430,656/126,328,086
  6. Step 6: Final answer
    x = 271,250,310.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.