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Finding the Third Proportional to 40,911 and 89,214

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Solution

The third proportional to 40,911 and 89,214 is: 194,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,911 : 89,214 = 89,214 : x
  2. Step 2: Convert to fraction form
    40,911/89,214 = 89,214/x
  3. Step 3: Cross multiply
    40,911x = 89,214 × 89,214
  4. Step 4: Simplify right side
    40,911x = 7,959,137,796
  5. Step 5: Solve for x
    x = 7,959,137,796/40,911
  6. Step 6: Final answer
    x = 194,547.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.