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Finding the Third Proportional to 44,077.50 and 95,168.25

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Solution

The third proportional to 44,077.50 and 95,168.25 is: 205,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,077.50 : 95,168.25 = 95,168.25 : x
  2. Step 2: Convert to fraction form
    44,077.50/95,168.25 = 95,168.25/x
  3. Step 3: Cross multiply
    44,077.50x = 95,168.25 × 95,168.25
  4. Step 4: Simplify right side
    44,077.50x = 9,056,995,808.06
  5. Step 5: Solve for x
    x = 9,056,995,808.06/44,077.50
  6. Step 6: Final answer
    x = 205,478.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.