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Finding the Third Proportional to 271,147,316 and 381,835,171

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Solution

The third proportional to 271,147,316 and 381,835,171 is: 537,708,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,147,316 : 381,835,171 = 381,835,171 : x
  2. Step 2: Convert to fraction form
    271,147,316/381,835,171 = 381,835,171/x
  3. Step 3: Cross multiply
    271,147,316x = 381,835,171 × 381,835,171
  4. Step 4: Simplify right side
    271,147,316x = 145,798,097,812,599,232
  5. Step 5: Solve for x
    x = 145,798,097,812,599,232/271,147,316
  6. Step 6: Final answer
    x = 537,708,062.04

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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.