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Finding the Third Proportional to 118,589,209,772 and 180,662,458,080

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Solution

The third proportional to 118,589,209,772 and 180,662,458,080 is: 275,226,758,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,589,209,772 : 180,662,458,080 = 180,662,458,080 : x
  2. Step 2: Convert to fraction form
    118,589,209,772/180,662,458,080 = 180,662,458,080/x
  3. Step 3: Cross multiply
    118,589,209,772x = 180,662,458,080 × 180,662,458,080
  4. Step 4: Simplify right side
    118,589,209,772x = 32,638,923,759,507,757,596,672
  5. Step 5: Solve for x
    x = 32,638,923,759,507,757,596,672/118,589,209,772
  6. Step 6: Final answer
    x = 275,226,758,170.15

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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.