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Finding the Third Proportional to 95,863.50 and 207,592.88

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Solution

The third proportional to 95,863.50 and 207,592.88 is: 449,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,863.50 : 207,592.88 = 207,592.88 : x
  2. Step 2: Convert to fraction form
    95,863.50/207,592.88 = 207,592.88/x
  3. Step 3: Cross multiply
    95,863.50x = 207,592.88 × 207,592.88
  4. Step 4: Simplify right side
    95,863.50x = 43,094,801,750.77
  5. Step 5: Solve for x
    x = 43,094,801,750.77/95,863.50
  6. Step 6: Final answer
    x = 449,543.38

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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.