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Finding the Third Proportional to 107,241.47 and 228,731.34

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Solution

The third proportional to 107,241.47 and 228,731.34 is: 487,852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,241.47 : 228,731.34 = 228,731.34 : x
  2. Step 2: Convert to fraction form
    107,241.47/228,731.34 = 228,731.34/x
  3. Step 3: Cross multiply
    107,241.47x = 228,731.34 × 228,731.34
  4. Step 4: Simplify right side
    107,241.47x = 52,318,027,613.68
  5. Step 5: Solve for x
    x = 52,318,027,613.68/107,241.47
  6. Step 6: Final answer
    x = 487,852.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.