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Finding the Third Proportional to 48,335.06 and 106,191.38

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Solution

The third proportional to 48,335.06 and 106,191.38 is: 233,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,335.06 : 106,191.38 = 106,191.38 : x
  2. Step 2: Convert to fraction form
    48,335.06/106,191.38 = 106,191.38/x
  3. Step 3: Cross multiply
    48,335.06x = 106,191.38 × 106,191.38
  4. Step 4: Simplify right side
    48,335.06x = 11,276,608,124.39
  5. Step 5: Solve for x
    x = 11,276,608,124.39/48,335.06
  6. Step 6: Final answer
    x = 233,300.79

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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.