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Finding the Third Proportional to 206,629,752 and 449,579,008.50

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Solution

The third proportional to 206,629,752 and 449,579,008.50 is: 978,180,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,629,752 : 449,579,008.50 = 449,579,008.50 : x
  2. Step 2: Convert to fraction form
    206,629,752/449,579,008.50 = 449,579,008.50/x
  3. Step 3: Cross multiply
    206,629,752x = 449,579,008.50 × 449,579,008.50
  4. Step 4: Simplify right side
    206,629,752x = 202,121,284,883,843,072
  5. Step 5: Solve for x
    x = 202,121,284,883,843,072/206,629,752
  6. Step 6: Final answer
    x = 978,180,939.23

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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.