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Finding the Third Proportional to 98,714,072.25 and 213,902,754.75

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Solution

The third proportional to 98,714,072.25 and 213,902,754.75 is: 463,504,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714,072.25 : 213,902,754.75 = 213,902,754.75 : x
  2. Step 2: Convert to fraction form
    98,714,072.25/213,902,754.75 = 213,902,754.75/x
  3. Step 3: Cross multiply
    98,714,072.25x = 213,902,754.75 × 213,902,754.75
  4. Step 4: Simplify right side
    98,714,072.25x = 45,754,388,489,638,648
  5. Step 5: Solve for x
    x = 45,754,388,489,638,648/98,714,072.25
  6. Step 6: Final answer
    x = 463,504,214.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.