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Finding the Third Proportional to 95,135.50 and 202,937.50

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Solution

The third proportional to 95,135.50 and 202,937.50 is: 432,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,135.50 : 202,937.50 = 202,937.50 : x
  2. Step 2: Convert to fraction form
    95,135.50/202,937.50 = 202,937.50/x
  3. Step 3: Cross multiply
    95,135.50x = 202,937.50 × 202,937.50
  4. Step 4: Simplify right side
    95,135.50x = 41,183,628,906.25
  5. Step 5: Solve for x
    x = 41,183,628,906.25/95,135.50
  6. Step 6: Final answer
    x = 432,894.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.