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Finding the Third Proportional to 108,907 and 235,910

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Solution

The third proportional to 108,907 and 235,910 is: 511,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,907 : 235,910 = 235,910 : x
  2. Step 2: Convert to fraction form
    108,907/235,910 = 235,910/x
  3. Step 3: Cross multiply
    108,907x = 235,910 × 235,910
  4. Step 4: Simplify right side
    108,907x = 55,653,528,100
  5. Step 5: Solve for x
    x = 55,653,528,100/108,907
  6. Step 6: Final answer
    x = 511,018.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.