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Finding the Third Proportional to 48,533.25 and 99,419

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Solution

The third proportional to 48,533.25 and 99,419 is: 203,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,533.25 : 99,419 = 99,419 : x
  2. Step 2: Convert to fraction form
    48,533.25/99,419 = 99,419/x
  3. Step 3: Cross multiply
    48,533.25x = 99,419 × 99,419
  4. Step 4: Simplify right side
    48,533.25x = 9,884,137,561
  5. Step 5: Solve for x
    x = 9,884,137,561/48,533.25
  6. Step 6: Final answer
    x = 203,657.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.