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Finding the Third Proportional to 95,447.25 and 205,646.63

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Solution

The third proportional to 95,447.25 and 205,646.63 is: 443,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,447.25 : 205,646.63 = 205,646.63 : x
  2. Step 2: Convert to fraction form
    95,447.25/205,646.63 = 205,646.63/x
  3. Step 3: Cross multiply
    95,447.25x = 205,646.63 × 205,646.63
  4. Step 4: Simplify right side
    95,447.25x = 42,290,534,373.89
  5. Step 5: Solve for x
    x = 42,290,534,373.89/95,447.25
  6. Step 6: Final answer
    x = 443,077.56

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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.