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Finding the Third Proportional to 206,876,464 and 309,744,888

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Solution

The third proportional to 206,876,464 and 309,744,888 is: 463,764,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,464 : 309,744,888 = 309,744,888 : x
  2. Step 2: Convert to fraction form
    206,876,464/309,744,888 = 309,744,888/x
  3. Step 3: Cross multiply
    206,876,464x = 309,744,888 × 309,744,888
  4. Step 4: Simplify right side
    206,876,464x = 95,941,895,642,132,544
  5. Step 5: Solve for x
    x = 95,941,895,642,132,544/206,876,464
  6. Step 6: Final answer
    x = 463,764,189.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.