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Finding the Third Proportional to 95,146.63 and 204,645.50

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Solution

The third proportional to 95,146.63 and 204,645.50 is: 440,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,146.63 : 204,645.50 = 204,645.50 : x
  2. Step 2: Convert to fraction form
    95,146.63/204,645.50 = 204,645.50/x
  3. Step 3: Cross multiply
    95,146.63x = 204,645.50 × 204,645.50
  4. Step 4: Simplify right side
    95,146.63x = 41,879,780,670.25
  5. Step 5: Solve for x
    x = 41,879,780,670.25/95,146.63
  6. Step 6: Final answer
    x = 440,160.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.