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Finding the Third Proportional to 108,275,688 and 233,809,812

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Solution

The third proportional to 108,275,688 and 233,809,812 is: 504,887,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,275,688 : 233,809,812 = 233,809,812 : x
  2. Step 2: Convert to fraction form
    108,275,688/233,809,812 = 233,809,812/x
  3. Step 3: Cross multiply
    108,275,688x = 233,809,812 × 233,809,812
  4. Step 4: Simplify right side
    108,275,688x = 54,667,028,187,475,344
  5. Step 5: Solve for x
    x = 54,667,028,187,475,344/108,275,688
  6. Step 6: Final answer
    x = 504,887,377.74

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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.