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Finding the Third Proportional to 127,144,296 and 274,611,168

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Solution

The third proportional to 127,144,296 and 274,611,168 is: 593,115,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,144,296 : 274,611,168 = 274,611,168 : x
  2. Step 2: Convert to fraction form
    127,144,296/274,611,168 = 274,611,168/x
  3. Step 3: Cross multiply
    127,144,296x = 274,611,168 × 274,611,168
  4. Step 4: Simplify right side
    127,144,296x = 75,411,293,590,324,224
  5. Step 5: Solve for x
    x = 75,411,293,590,324,224/127,144,296
  6. Step 6: Final answer
    x = 593,115,821.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.