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Finding the Third Proportional to 118,589,209,770 and 180,662,458,077

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Solution

The third proportional to 118,589,209,770 and 180,662,458,077 is: 275,226,758,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,589,209,770 : 180,662,458,077 = 180,662,458,077 : x
  2. Step 2: Convert to fraction form
    118,589,209,770/180,662,458,077 = 180,662,458,077/x
  3. Step 3: Cross multiply
    118,589,209,770x = 180,662,458,077 × 180,662,458,077
  4. Step 4: Simplify right side
    118,589,209,770x = 32,638,923,758,423,781,670,912
  5. Step 5: Solve for x
    x = 32,638,923,758,423,781,670,912/118,589,209,770
  6. Step 6: Final answer
    x = 275,226,758,165.65

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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.