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Finding the Third Proportional to 77,532.19 and 158,344.88

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Solution

The third proportional to 77,532.19 and 158,344.88 is: 323,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,532.19 : 158,344.88 = 158,344.88 : x
  2. Step 2: Convert to fraction form
    77,532.19/158,344.88 = 158,344.88/x
  3. Step 3: Cross multiply
    77,532.19x = 158,344.88 × 158,344.88
  4. Step 4: Simplify right side
    77,532.19x = 25,073,099,438.77
  5. Step 5: Solve for x
    x = 25,073,099,438.77/77,532.19
  6. Step 6: Final answer
    x = 323,389.55

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.