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Finding the Third Proportional to 105,108 and 230,655

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Solution

The third proportional to 105,108 and 230,655 is: 506,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,108 : 230,655 = 230,655 : x
  2. Step 2: Convert to fraction form
    105,108/230,655 = 230,655/x
  3. Step 3: Cross multiply
    105,108x = 230,655 × 230,655
  4. Step 4: Simplify right side
    105,108x = 53,201,729,025
  5. Step 5: Solve for x
    x = 53,201,729,025/105,108
  6. Step 6: Final answer
    x = 506,162.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.