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Finding the Third Proportional to 95,065.50 and 205,203

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Solution

The third proportional to 95,065.50 and 205,203 is: 442,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,065.50 : 205,203 = 205,203 : x
  2. Step 2: Convert to fraction form
    95,065.50/205,203 = 205,203/x
  3. Step 3: Cross multiply
    95,065.50x = 205,203 × 205,203
  4. Step 4: Simplify right side
    95,065.50x = 42,108,271,209
  5. Step 5: Solve for x
    x = 42,108,271,209/95,065.50
  6. Step 6: Final answer
    x = 442,939.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.