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Finding the Third Proportional to 94,540,182 and 205,644,780

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Solution

The third proportional to 94,540,182 and 205,644,780 is: 447,320,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540,182 : 205,644,780 = 205,644,780 : x
  2. Step 2: Convert to fraction form
    94,540,182/205,644,780 = 205,644,780/x
  3. Step 3: Cross multiply
    94,540,182x = 205,644,780 × 205,644,780
  4. Step 4: Simplify right side
    94,540,182x = 42,289,775,541,248,400
  5. Step 5: Solve for x
    x = 42,289,775,541,248,400/94,540,182
  6. Step 6: Final answer
    x = 447,320,648.71

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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.