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Finding the Third Proportional to 95,510 and 215,645

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Solution

The third proportional to 95,510 and 215,645 is: 486,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,510 : 215,645 = 215,645 : x
  2. Step 2: Convert to fraction form
    95,510/215,645 = 215,645/x
  3. Step 3: Cross multiply
    95,510x = 215,645 × 215,645
  4. Step 4: Simplify right side
    95,510x = 46,502,766,025
  5. Step 5: Solve for x
    x = 46,502,766,025/95,510
  6. Step 6: Final answer
    x = 486,888.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.