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Finding the Third Proportional to 118,589,209,782 and 180,662,458,096

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Solution

The third proportional to 118,589,209,782 and 180,662,458,096 is: 275,226,758,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,589,209,782 : 180,662,458,096 = 180,662,458,096 : x
  2. Step 2: Convert to fraction form
    118,589,209,782/180,662,458,096 = 180,662,458,096/x
  3. Step 3: Cross multiply
    118,589,209,782x = 180,662,458,096 × 180,662,458,096
  4. Step 4: Simplify right side
    118,589,209,782x = 32,638,923,765,288,955,543,552
  5. Step 5: Solve for x
    x = 32,638,923,765,288,955,543,552/118,589,209,782
  6. Step 6: Final answer
    x = 275,226,758,195.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.