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Finding the Third Proportional to 84,619.41 and 185,846.06

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Solution

The third proportional to 84,619.41 and 185,846.06 is: 408,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,619.41 : 185,846.06 = 185,846.06 : x
  2. Step 2: Convert to fraction form
    84,619.41/185,846.06 = 185,846.06/x
  3. Step 3: Cross multiply
    84,619.41x = 185,846.06 × 185,846.06
  4. Step 4: Simplify right side
    84,619.41x = 34,538,758,946.75
  5. Step 5: Solve for x
    x = 34,538,758,946.75/84,619.41
  6. Step 6: Final answer
    x = 408,165.93

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Why These Related Problems?

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