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Finding the Third Proportional to 108,207 and 236,097

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Solution

The third proportional to 108,207 and 236,097 is: 515,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,207 : 236,097 = 236,097 : x
  2. Step 2: Convert to fraction form
    108,207/236,097 = 236,097/x
  3. Step 3: Cross multiply
    108,207x = 236,097 × 236,097
  4. Step 4: Simplify right side
    108,207x = 55,741,793,409
  5. Step 5: Solve for x
    x = 55,741,793,409/108,207
  6. Step 6: Final answer
    x = 515,140.36

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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.