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Finding the Third Proportional to 95,043 and 209,691

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Solution

The third proportional to 95,043 and 209,691 is: 462,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,043 : 209,691 = 209,691 : x
  2. Step 2: Convert to fraction form
    95,043/209,691 = 209,691/x
  3. Step 3: Cross multiply
    95,043x = 209,691 × 209,691
  4. Step 4: Simplify right side
    95,043x = 43,970,315,481
  5. Step 5: Solve for x
    x = 43,970,315,481/95,043
  6. Step 6: Final answer
    x = 462,636.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.