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Finding the Third Proportional to 41,689.69 and 89,317.69

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Solution

The third proportional to 41,689.69 and 89,317.69 is: 191,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689.69 : 89,317.69 = 89,317.69 : x
  2. Step 2: Convert to fraction form
    41,689.69/89,317.69 = 89,317.69/x
  3. Step 3: Cross multiply
    41,689.69x = 89,317.69 × 89,317.69
  4. Step 4: Simplify right side
    41,689.69x = 7,977,649,300.35
  5. Step 5: Solve for x
    x = 7,977,649,300.35/41,689.69
  6. Step 6: Final answer
    x = 191,357.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.