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Finding the Third Proportional to 95,830 and 207,948

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Solution

The third proportional to 95,830 and 207,948 is: 451,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,830 : 207,948 = 207,948 : x
  2. Step 2: Convert to fraction form
    95,830/207,948 = 207,948/x
  3. Step 3: Cross multiply
    95,830x = 207,948 × 207,948
  4. Step 4: Simplify right side
    95,830x = 43,242,370,704
  5. Step 5: Solve for x
    x = 43,242,370,704/95,830
  6. Step 6: Final answer
    x = 451,240.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.