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Finding the Third Proportional to 95,384 and 207,236

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Solution

The third proportional to 95,384 and 207,236 is: 450,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,384 : 207,236 = 207,236 : x
  2. Step 2: Convert to fraction form
    95,384/207,236 = 207,236/x
  3. Step 3: Cross multiply
    95,384x = 207,236 × 207,236
  4. Step 4: Simplify right side
    95,384x = 42,946,759,696
  5. Step 5: Solve for x
    x = 42,946,759,696/95,384
  6. Step 6: Final answer
    x = 450,251.19

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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.