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Finding the Third Proportional to 176,954,611.50 and 274,748,538.38

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Solution

The third proportional to 176,954,611.50 and 274,748,538.38 is: 426,588,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,954,611.50 : 274,748,538.38 = 274,748,538.38 : x
  2. Step 2: Convert to fraction form
    176,954,611.50/274,748,538.38 = 274,748,538.38/x
  3. Step 3: Cross multiply
    176,954,611.50x = 274,748,538.38 × 274,748,538.38
  4. Step 4: Simplify right side
    176,954,611.50x = 75,486,759,339,198,848
  5. Step 5: Solve for x
    x = 75,486,759,339,198,848/176,954,611.50
  6. Step 6: Final answer
    x = 426,588,257.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.