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Finding the Third Proportional to 81,532.41 and 183,103.88

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Solution

The third proportional to 81,532.41 and 183,103.88 is: 411,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,532.41 : 183,103.88 = 183,103.88 : x
  2. Step 2: Convert to fraction form
    81,532.41/183,103.88 = 183,103.88/x
  3. Step 3: Cross multiply
    81,532.41x = 183,103.88 × 183,103.88
  4. Step 4: Simplify right side
    81,532.41x = 33,527,029,040.02
  5. Step 5: Solve for x
    x = 33,527,029,040.02/81,532.41
  6. Step 6: Final answer
    x = 411,211.08

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.