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Finding the Third Proportional to 91,736.72 and 186,055.31

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Solution

The third proportional to 91,736.72 and 186,055.31 is: 377,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,736.72 : 186,055.31 = 186,055.31 : x
  2. Step 2: Convert to fraction form
    91,736.72/186,055.31 = 186,055.31/x
  3. Step 3: Cross multiply
    91,736.72x = 186,055.31 × 186,055.31
  4. Step 4: Simplify right side
    91,736.72x = 34,616,579,309.47
  5. Step 5: Solve for x
    x = 34,616,579,309.47/91,736.72
  6. Step 6: Final answer
    x = 377,347.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.