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Finding the Third Proportional to 94,540,002 and 205,644,342

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Solution

The third proportional to 94,540,002 and 205,644,342 is: 447,319,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540,002 : 205,644,342 = 205,644,342 : x
  2. Step 2: Convert to fraction form
    94,540,002/205,644,342 = 205,644,342/x
  3. Step 3: Cross multiply
    94,540,002x = 205,644,342 × 205,644,342
  4. Step 4: Simplify right side
    94,540,002x = 42,289,595,396,612,960
  5. Step 5: Solve for x
    x = 42,289,595,396,612,960/94,540,002
  6. Step 6: Final answer
    x = 447,319,594.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.