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Finding the Third Proportional to 44,088 and 95,145.50

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Solution

The third proportional to 44,088 and 95,145.50 is: 205,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,088 : 95,145.50 = 95,145.50 : x
  2. Step 2: Convert to fraction form
    44,088/95,145.50 = 95,145.50/x
  3. Step 3: Cross multiply
    44,088x = 95,145.50 × 95,145.50
  4. Step 4: Simplify right side
    44,088x = 9,052,666,170.25
  5. Step 5: Solve for x
    x = 9,052,666,170.25/44,088
  6. Step 6: Final answer
    x = 205,331.75

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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.