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Finding the Third Proportional to 47,734.31 and 99,390.80

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Solution

The third proportional to 47,734.31 and 99,390.80 is: 206,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,734.31 : 99,390.80 = 99,390.80 : x
  2. Step 2: Convert to fraction form
    47,734.31/99,390.80 = 99,390.80/x
  3. Step 3: Cross multiply
    47,734.31x = 99,390.80 × 99,390.80
  4. Step 4: Simplify right side
    47,734.31x = 9,878,530,503.45
  5. Step 5: Solve for x
    x = 9,878,530,503.45/47,734.31
  6. Step 6: Final answer
    x = 206,948.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.