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Finding the Third Proportional to 95,400 and 207,203

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Solution

The third proportional to 95,400 and 207,203 is: 450,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,400 : 207,203 = 207,203 : x
  2. Step 2: Convert to fraction form
    95,400/207,203 = 207,203/x
  3. Step 3: Cross multiply
    95,400x = 207,203 × 207,203
  4. Step 4: Simplify right side
    95,400x = 42,933,083,209
  5. Step 5: Solve for x
    x = 42,933,083,209/95,400
  6. Step 6: Final answer
    x = 450,032.32

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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.