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Finding the Third Proportional to 90,133,228 and 194,634,584

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Solution

The third proportional to 90,133,228 and 194,634,584 is: 420,295,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,133,228 : 194,634,584 = 194,634,584 : x
  2. Step 2: Convert to fraction form
    90,133,228/194,634,584 = 194,634,584/x
  3. Step 3: Cross multiply
    90,133,228x = 194,634,584 × 194,634,584
  4. Step 4: Simplify right side
    90,133,228x = 37,882,621,288,853,056
  5. Step 5: Solve for x
    x = 37,882,621,288,853,056/90,133,228
  6. Step 6: Final answer
    x = 420,295,845.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.