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Finding the Third Proportional to 271,147,322 and 381,835,178.50

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Solution

The third proportional to 271,147,322 and 381,835,178.50 is: 537,708,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,147,322 : 381,835,178.50 = 381,835,178.50 : x
  2. Step 2: Convert to fraction form
    271,147,322/381,835,178.50 = 381,835,178.50/x
  3. Step 3: Cross multiply
    271,147,322x = 381,835,178.50 × 381,835,178.50
  4. Step 4: Simplify right side
    271,147,322x = 145,798,103,540,126,848
  5. Step 5: Solve for x
    x = 145,798,103,540,126,848/271,147,322
  6. Step 6: Final answer
    x = 537,708,071.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.