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Finding the Third Proportional to 45,337.50 and 99,722.25

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Solution

The third proportional to 45,337.50 and 99,722.25 is: 219,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,337.50 : 99,722.25 = 99,722.25 : x
  2. Step 2: Convert to fraction form
    45,337.50/99,722.25 = 99,722.25/x
  3. Step 3: Cross multiply
    45,337.50x = 99,722.25 × 99,722.25
  4. Step 4: Simplify right side
    45,337.50x = 9,944,527,145.06
  5. Step 5: Solve for x
    x = 9,944,527,145.06/45,337.50
  6. Step 6: Final answer
    x = 219,344.41

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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.