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Finding the Third Proportional to 108,888 and 230,997.75

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Solution

The third proportional to 108,888 and 230,997.75 is: 490,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,888 : 230,997.75 = 230,997.75 : x
  2. Step 2: Convert to fraction form
    108,888/230,997.75 = 230,997.75/x
  3. Step 3: Cross multiply
    108,888x = 230,997.75 × 230,997.75
  4. Step 4: Simplify right side
    108,888x = 53,359,960,505.06
  5. Step 5: Solve for x
    x = 53,359,960,505.06/108,888
  6. Step 6: Final answer
    x = 490,044.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.