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Finding the Third Proportional to 238,299,104 and 514,236,640

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Solution

The third proportional to 238,299,104 and 514,236,640 is: 1,109,694,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,299,104 : 514,236,640 = 514,236,640 : x
  2. Step 2: Convert to fraction form
    238,299,104/514,236,640 = 514,236,640/x
  3. Step 3: Cross multiply
    238,299,104x = 514,236,640 × 514,236,640
  4. Step 4: Simplify right side
    238,299,104x = 264,439,321,918,489,600
  5. Step 5: Solve for x
    x = 264,439,321,918,489,600/238,299,104
  6. Step 6: Final answer
    x = 1,109,694,990.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.