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Finding the Third Proportional to 41,445 and 95,998.50

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Solution

The third proportional to 41,445 and 95,998.50 is: 222,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,445 : 95,998.50 = 95,998.50 : x
  2. Step 2: Convert to fraction form
    41,445/95,998.50 = 95,998.50/x
  3. Step 3: Cross multiply
    41,445x = 95,998.50 × 95,998.50
  4. Step 4: Simplify right side
    41,445x = 9,215,712,002.25
  5. Step 5: Solve for x
    x = 9,215,712,002.25/41,445
  6. Step 6: Final answer
    x = 222,360.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.