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Finding the Third Proportional to 81,127,160,296 and 173,419,070,288

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Solution

The third proportional to 81,127,160,296 and 173,419,070,288 is: 370,704,136,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,127,160,296 : 173,419,070,288 = 173,419,070,288 : x
  2. Step 2: Convert to fraction form
    81,127,160,296/173,419,070,288 = 173,419,070,288/x
  3. Step 3: Cross multiply
    81,127,160,296x = 173,419,070,288 × 173,419,070,288
  4. Step 4: Simplify right side
    81,127,160,296x = 30,074,173,939,554,285,780,992
  5. Step 5: Solve for x
    x = 30,074,173,939,554,285,780,992/81,127,160,296
  6. Step 6: Final answer
    x = 370,704,136,935.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.