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Finding the Third Proportional to 108,109 and 235,901

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Solution

The third proportional to 108,109 and 235,901 is: 514,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,109 : 235,901 = 235,901 : x
  2. Step 2: Convert to fraction form
    108,109/235,901 = 235,901/x
  3. Step 3: Cross multiply
    108,109x = 235,901 × 235,901
  4. Step 4: Simplify right side
    108,109x = 55,649,281,801
  5. Step 5: Solve for x
    x = 55,649,281,801/108,109
  6. Step 6: Final answer
    x = 514,751.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.