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Finding the Third Proportional to 108,218 and 231,137.50

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Solution

The third proportional to 108,218 and 231,137.50 is: 493,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,218 : 231,137.50 = 231,137.50 : x
  2. Step 2: Convert to fraction form
    108,218/231,137.50 = 231,137.50/x
  3. Step 3: Cross multiply
    108,218x = 231,137.50 × 231,137.50
  4. Step 4: Simplify right side
    108,218x = 53,424,543,906.25
  5. Step 5: Solve for x
    x = 53,424,543,906.25/108,218
  6. Step 6: Final answer
    x = 493,675.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.