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Finding the Third Proportional to 40,464 and 88,958

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Solution

The third proportional to 40,464 and 88,958 is: 195,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,464 : 88,958 = 88,958 : x
  2. Step 2: Convert to fraction form
    40,464/88,958 = 88,958/x
  3. Step 3: Cross multiply
    40,464x = 88,958 × 88,958
  4. Step 4: Simplify right side
    40,464x = 7,913,525,764
  5. Step 5: Solve for x
    x = 7,913,525,764/40,464
  6. Step 6: Final answer
    x = 195,569.54

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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.