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Finding the Third Proportional to 41,917.50 and 89,833.50

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Solution

The third proportional to 41,917.50 and 89,833.50 is: 192,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,917.50 : 89,833.50 = 89,833.50 : x
  2. Step 2: Convert to fraction form
    41,917.50/89,833.50 = 89,833.50/x
  3. Step 3: Cross multiply
    41,917.50x = 89,833.50 × 89,833.50
  4. Step 4: Simplify right side
    41,917.50x = 8,070,057,722.25
  5. Step 5: Solve for x
    x = 8,070,057,722.25/41,917.50
  6. Step 6: Final answer
    x = 192,522.40

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