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Finding the Third Proportional to 95,314.50 and 206,319.38

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Solution

The third proportional to 95,314.50 and 206,319.38 is: 446,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,314.50 : 206,319.38 = 206,319.38 : x
  2. Step 2: Convert to fraction form
    95,314.50/206,319.38 = 206,319.38/x
  3. Step 3: Cross multiply
    95,314.50x = 206,319.38 × 206,319.38
  4. Step 4: Simplify right side
    95,314.50x = 42,567,684,500.39
  5. Step 5: Solve for x
    x = 42,567,684,500.39/95,314.50
  6. Step 6: Final answer
    x = 446,602.40

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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.