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Finding the Third Proportional to 95,161.50 and 203,445

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Solution

The third proportional to 95,161.50 and 203,445 is: 434,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,161.50 : 203,445 = 203,445 : x
  2. Step 2: Convert to fraction form
    95,161.50/203,445 = 203,445/x
  3. Step 3: Cross multiply
    95,161.50x = 203,445 × 203,445
  4. Step 4: Simplify right side
    95,161.50x = 41,389,868,025
  5. Step 5: Solve for x
    x = 41,389,868,025/95,161.50
  6. Step 6: Final answer
    x = 434,943.42

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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.