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Finding the Third Proportional to 95,670 and 209,466.75

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Solution

The third proportional to 95,670 and 209,466.75 is: 458,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,670 : 209,466.75 = 209,466.75 : x
  2. Step 2: Convert to fraction form
    95,670/209,466.75 = 209,466.75/x
  3. Step 3: Cross multiply
    95,670x = 209,466.75 × 209,466.75
  4. Step 4: Simplify right side
    95,670x = 43,876,319,355.56
  5. Step 5: Solve for x
    x = 43,876,319,355.56/95,670
  6. Step 6: Final answer
    x = 458,621.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.