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Finding the Third Proportional to 45,883.50 and 101,079.50

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Solution

The third proportional to 45,883.50 and 101,079.50 is: 222,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,883.50 : 101,079.50 = 101,079.50 : x
  2. Step 2: Convert to fraction form
    45,883.50/101,079.50 = 101,079.50/x
  3. Step 3: Cross multiply
    45,883.50x = 101,079.50 × 101,079.50
  4. Step 4: Simplify right side
    45,883.50x = 10,217,065,320.25
  5. Step 5: Solve for x
    x = 10,217,065,320.25/45,883.50
  6. Step 6: Final answer
    x = 222,674.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.