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Finding the Third Proportional to 206,869,824 and 308,511,072

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Solution

The third proportional to 206,869,824 and 308,511,072 is: 460,091,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,869,824 : 308,511,072 = 308,511,072 : x
  2. Step 2: Convert to fraction form
    206,869,824/308,511,072 = 308,511,072/x
  3. Step 3: Cross multiply
    206,869,824x = 308,511,072 × 308,511,072
  4. Step 4: Simplify right side
    206,869,824x = 95,179,081,546,589,184
  5. Step 5: Solve for x
    x = 95,179,081,546,589,184/206,869,824
  6. Step 6: Final answer
    x = 460,091,663.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.