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Finding the Third Proportional to 47,579.06 and 102,335.06

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Solution

The third proportional to 47,579.06 and 102,335.06 is: 220,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,579.06 : 102,335.06 = 102,335.06 : x
  2. Step 2: Convert to fraction form
    47,579.06/102,335.06 = 102,335.06/x
  3. Step 3: Cross multiply
    47,579.06x = 102,335.06 × 102,335.06
  4. Step 4: Simplify right side
    47,579.06x = 10,472,465,016.88
  5. Step 5: Solve for x
    x = 10,472,465,016.88/47,579.06
  6. Step 6: Final answer
    x = 220,106.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.