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Finding the Third Proportional to 88,416 and 190,872

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Solution

The third proportional to 88,416 and 190,872 is: 412,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,416 : 190,872 = 190,872 : x
  2. Step 2: Convert to fraction form
    88,416/190,872 = 190,872/x
  3. Step 3: Cross multiply
    88,416x = 190,872 × 190,872
  4. Step 4: Simplify right side
    88,416x = 36,432,120,384
  5. Step 5: Solve for x
    x = 36,432,120,384/88,416
  6. Step 6: Final answer
    x = 412,053.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.