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Finding the Third Proportional to 222,939,540 and 466,206,698.25

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Solution

The third proportional to 222,939,540 and 466,206,698.25 is: 974,922,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,939,540 : 466,206,698.25 = 466,206,698.25 : x
  2. Step 2: Convert to fraction form
    222,939,540/466,206,698.25 = 466,206,698.25/x
  3. Step 3: Cross multiply
    222,939,540x = 466,206,698.25 × 466,206,698.25
  4. Step 4: Simplify right side
    222,939,540x = 217,348,685,493,166,560
  5. Step 5: Solve for x
    x = 217,348,685,493,166,560/222,939,540
  6. Step 6: Final answer
    x = 974,922,104.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.