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Finding the Third Proportional to 95,985.56 and 206,460.56

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Solution

The third proportional to 95,985.56 and 206,460.56 is: 444,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,985.56 : 206,460.56 = 206,460.56 : x
  2. Step 2: Convert to fraction form
    95,985.56/206,460.56 = 206,460.56/x
  3. Step 3: Cross multiply
    95,985.56x = 206,460.56 × 206,460.56
  4. Step 4: Simplify right side
    95,985.56x = 42,625,963,867.82
  5. Step 5: Solve for x
    x = 42,625,963,867.82/95,985.56
  6. Step 6: Final answer
    x = 444,087.24

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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.