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Finding the Third Proportional to 44,831 and 98,410

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Solution

The third proportional to 44,831 and 98,410 is: 216,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,831 : 98,410 = 98,410 : x
  2. Step 2: Convert to fraction form
    44,831/98,410 = 98,410/x
  3. Step 3: Cross multiply
    44,831x = 98,410 × 98,410
  4. Step 4: Simplify right side
    44,831x = 9,684,528,100
  5. Step 5: Solve for x
    x = 9,684,528,100/44,831
  6. Step 6: Final answer
    x = 216,023.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.