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Finding the Third Proportional to 95,655.94 and 208,539.56

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Solution

The third proportional to 95,655.94 and 208,539.56 is: 454,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,655.94 : 208,539.56 = 208,539.56 : x
  2. Step 2: Convert to fraction form
    95,655.94/208,539.56 = 208,539.56/x
  3. Step 3: Cross multiply
    95,655.94x = 208,539.56 × 208,539.56
  4. Step 4: Simplify right side
    95,655.94x = 43,488,749,127.69
  5. Step 5: Solve for x
    x = 43,488,749,127.69/95,655.94
  6. Step 6: Final answer
    x = 454,637.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.