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Finding the Third Proportional to 95,330.25 and 205,652.25

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Solution

The third proportional to 95,330.25 and 205,652.25 is: 443,645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,330.25 : 205,652.25 = 205,652.25 : x
  2. Step 2: Convert to fraction form
    95,330.25/205,652.25 = 205,652.25/x
  3. Step 3: Cross multiply
    95,330.25x = 205,652.25 × 205,652.25
  4. Step 4: Simplify right side
    95,330.25x = 42,292,847,930.06
  5. Step 5: Solve for x
    x = 42,292,847,930.06/95,330.25
  6. Step 6: Final answer
    x = 443,645.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.