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Finding the Third Proportional to 41,897.25 and 95,720.63

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Solution

The third proportional to 41,897.25 and 95,720.63 is: 218,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,897.25 : 95,720.63 = 95,720.63 : x
  2. Step 2: Convert to fraction form
    41,897.25/95,720.63 = 95,720.63/x
  3. Step 3: Cross multiply
    41,897.25x = 95,720.63 × 95,720.63
  4. Step 4: Simplify right side
    41,897.25x = 9,162,438,050.39
  5. Step 5: Solve for x
    x = 9,162,438,050.39/41,897.25
  6. Step 6: Final answer
    x = 218,688.29

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.