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Finding the Third Proportional to 48,832.13 and 103,659.50

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Solution

The third proportional to 48,832.13 and 103,659.50 is: 220,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,832.13 : 103,659.50 = 103,659.50 : x
  2. Step 2: Convert to fraction form
    48,832.13/103,659.50 = 103,659.50/x
  3. Step 3: Cross multiply
    48,832.13x = 103,659.50 × 103,659.50
  4. Step 4: Simplify right side
    48,832.13x = 10,745,291,940.25
  5. Step 5: Solve for x
    x = 10,745,291,940.25/48,832.13
  6. Step 6: Final answer
    x = 220,045.55

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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.