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Finding the Third Proportional to 94,540,176 and 205,644,768

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Solution

The third proportional to 94,540,176 and 205,644,768 is: 447,320,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540,176 : 205,644,768 = 205,644,768 : x
  2. Step 2: Convert to fraction form
    94,540,176/205,644,768 = 205,644,768/x
  3. Step 3: Cross multiply
    94,540,176x = 205,644,768 × 205,644,768
  4. Step 4: Simplify right side
    94,540,176x = 42,289,770,605,773,824
  5. Step 5: Solve for x
    x = 42,289,770,605,773,824/94,540,176
  6. Step 6: Final answer
    x = 447,320,624.89

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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.