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Finding the Third Proportional to 95,391 and 207,184

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Solution

The third proportional to 95,391 and 207,184 is: 449,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,391 : 207,184 = 207,184 : x
  2. Step 2: Convert to fraction form
    95,391/207,184 = 207,184/x
  3. Step 3: Cross multiply
    95,391x = 207,184 × 207,184
  4. Step 4: Simplify right side
    95,391x = 42,925,209,856
  5. Step 5: Solve for x
    x = 42,925,209,856/95,391
  6. Step 6: Final answer
    x = 449,992.24

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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.