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Finding the Third Proportional to 48,836.25 and 103,669.88

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Solution

The third proportional to 48,836.25 and 103,669.88 is: 220,071.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,836.25 : 103,669.88 = 103,669.88 : x
  2. Step 2: Convert to fraction form
    48,836.25/103,669.88 = 103,669.88/x
  3. Step 3: Cross multiply
    48,836.25x = 103,669.88 × 103,669.88
  4. Step 4: Simplify right side
    48,836.25x = 10,747,442,982.52
  5. Step 5: Solve for x
    x = 10,747,442,982.52/48,836.25
  6. Step 6: Final answer
    x = 220,071.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.