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Finding the Third Proportional to 95,254.50 and 209,946

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Solution

The third proportional to 95,254.50 and 209,946 is: 462,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,254.50 : 209,946 = 209,946 : x
  2. Step 2: Convert to fraction form
    95,254.50/209,946 = 209,946/x
  3. Step 3: Cross multiply
    95,254.50x = 209,946 × 209,946
  4. Step 4: Simplify right side
    95,254.50x = 44,077,322,916
  5. Step 5: Solve for x
    x = 44,077,322,916/95,254.50
  6. Step 6: Final answer
    x = 462,732.18

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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.