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Finding the Third Proportional to 95,281 and 203,216

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Solution

The third proportional to 95,281 and 203,216 is: 433,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,281 : 203,216 = 203,216 : x
  2. Step 2: Convert to fraction form
    95,281/203,216 = 203,216/x
  3. Step 3: Cross multiply
    95,281x = 203,216 × 203,216
  4. Step 4: Simplify right side
    95,281x = 41,296,742,656
  5. Step 5: Solve for x
    x = 41,296,742,656/95,281
  6. Step 6: Final answer
    x = 433,420.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.