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Finding the Third Proportional to 95,671 and 208,564.75

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Solution

The third proportional to 95,671 and 208,564.75 is: 454,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,671 : 208,564.75 = 208,564.75 : x
  2. Step 2: Convert to fraction form
    95,671/208,564.75 = 208,564.75/x
  3. Step 3: Cross multiply
    95,671x = 208,564.75 × 208,564.75
  4. Step 4: Simplify right side
    95,671x = 43,499,254,942.56
  5. Step 5: Solve for x
    x = 43,499,254,942.56/95,671
  6. Step 6: Final answer
    x = 454,675.45

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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.