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Finding the Third Proportional to 95,406 and 207,214

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Solution

The third proportional to 95,406 and 207,214 is: 450,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,406 : 207,214 = 207,214 : x
  2. Step 2: Convert to fraction form
    95,406/207,214 = 207,214/x
  3. Step 3: Cross multiply
    95,406x = 207,214 × 207,214
  4. Step 4: Simplify right side
    95,406x = 42,937,641,796
  5. Step 5: Solve for x
    x = 42,937,641,796/95,406
  6. Step 6: Final answer
    x = 450,051.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.