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Finding the Third Proportional to 45,477 and 98,427

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Solution

The third proportional to 45,477 and 98,427 is: 213,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,477 : 98,427 = 98,427 : x
  2. Step 2: Convert to fraction form
    45,477/98,427 = 98,427/x
  3. Step 3: Cross multiply
    45,477x = 98,427 × 98,427
  4. Step 4: Simplify right side
    45,477x = 9,687,874,329
  5. Step 5: Solve for x
    x = 9,687,874,329/45,477
  6. Step 6: Final answer
    x = 213,028.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.