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Finding the Third Proportional to 47,000.25 and 96,293.25

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Solution

The third proportional to 47,000.25 and 96,293.25 is: 197,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000.25 : 96,293.25 = 96,293.25 : x
  2. Step 2: Convert to fraction form
    47,000.25/96,293.25 = 96,293.25/x
  3. Step 3: Cross multiply
    47,000.25x = 96,293.25 × 96,293.25
  4. Step 4: Simplify right side
    47,000.25x = 9,272,389,995.56
  5. Step 5: Solve for x
    x = 9,272,389,995.56/47,000.25
  6. Step 6: Final answer
    x = 197,283.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.