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Finding the Third Proportional to 185,277,474 and 395,999,316

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Solution

The third proportional to 185,277,474 and 395,999,316 is: 846,381,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,277,474 : 395,999,316 = 395,999,316 : x
  2. Step 2: Convert to fraction form
    185,277,474/395,999,316 = 395,999,316/x
  3. Step 3: Cross multiply
    185,277,474x = 395,999,316 × 395,999,316
  4. Step 4: Simplify right side
    185,277,474x = 156,815,458,272,467,840
  5. Step 5: Solve for x
    x = 156,815,458,272,467,840/185,277,474
  6. Step 6: Final answer
    x = 846,381,672.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.