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Finding the Third Proportional to 95,139.98 and 209,112.47

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Solution

The third proportional to 95,139.98 and 209,112.47 is: 459,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,139.98 : 209,112.47 = 209,112.47 : x
  2. Step 2: Convert to fraction form
    95,139.98/209,112.47 = 209,112.47/x
  3. Step 3: Cross multiply
    95,139.98x = 209,112.47 × 209,112.47
  4. Step 4: Simplify right side
    95,139.98x = 43,728,024,586.72
  5. Step 5: Solve for x
    x = 43,728,024,586.72/95,139.98
  6. Step 6: Final answer
    x = 459,617.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.