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Finding the Third Proportional to 179,347,956,261 and 395,252,738,775

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Solution

The third proportional to 179,347,956,261 and 395,252,738,775 is: 871,070,575,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,347,956,261 : 395,252,738,775 = 395,252,738,775 : x
  2. Step 2: Convert to fraction form
    179,347,956,261/395,252,738,775 = 395,252,738,775/x
  3. Step 3: Cross multiply
    179,347,956,261x = 395,252,738,775 × 395,252,738,775
  4. Step 4: Simplify right side
    179,347,956,261x = 156,224,727,509,138,396,938,240
  5. Step 5: Solve for x
    x = 156,224,727,509,138,396,938,240/179,347,956,261
  6. Step 6: Final answer
    x = 871,070,575,690.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.