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Finding the Third Proportional to 80,865.84 and 175,848.47

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Solution

The third proportional to 80,865.84 and 175,848.47 is: 382,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,865.84 : 175,848.47 = 175,848.47 : x
  2. Step 2: Convert to fraction form
    80,865.84/175,848.47 = 175,848.47/x
  3. Step 3: Cross multiply
    80,865.84x = 175,848.47 × 175,848.47
  4. Step 4: Simplify right side
    80,865.84x = 30,922,683,961.72
  5. Step 5: Solve for x
    x = 30,922,683,961.72/80,865.84
  6. Step 6: Final answer
    x = 382,394.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.