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Finding the Third Proportional to 95,200.31 and 205,412.63

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Solution

The third proportional to 95,200.31 and 205,412.63 is: 443,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,200.31 : 205,412.63 = 205,412.63 : x
  2. Step 2: Convert to fraction form
    95,200.31/205,412.63 = 205,412.63/x
  3. Step 3: Cross multiply
    95,200.31x = 205,412.63 × 205,412.63
  4. Step 4: Simplify right side
    95,200.31x = 42,194,346,509.39
  5. Step 5: Solve for x
    x = 42,194,346,509.39/95,200.31
  6. Step 6: Final answer
    x = 443,216.47

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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.