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Finding the Third Proportional to 127,443,111.75 and 274,496,085

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Solution

The third proportional to 127,443,111.75 and 274,496,085 is: 591,229,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,443,111.75 : 274,496,085 = 274,496,085 : x
  2. Step 2: Convert to fraction form
    127,443,111.75/274,496,085 = 274,496,085/x
  3. Step 3: Cross multiply
    127,443,111.75x = 274,496,085 × 274,496,085
  4. Step 4: Simplify right side
    127,443,111.75x = 75,348,100,680,327,232
  5. Step 5: Solve for x
    x = 75,348,100,680,327,232/127,443,111.75
  6. Step 6: Final answer
    x = 591,229,291.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.