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Finding the Third Proportional to 95,386 and 205,533

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Solution

The third proportional to 95,386 and 205,533 is: 442,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,386 : 205,533 = 205,533 : x
  2. Step 2: Convert to fraction form
    95,386/205,533 = 205,533/x
  3. Step 3: Cross multiply
    95,386x = 205,533 × 205,533
  4. Step 4: Simplify right side
    95,386x = 42,243,814,089
  5. Step 5: Solve for x
    x = 42,243,814,089/95,386
  6. Step 6: Final answer
    x = 442,872.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.