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Finding the Third Proportional to 117,624.66 and 186,946.31

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Solution

The third proportional to 117,624.66 and 186,946.31 is: 297,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,624.66 : 186,946.31 = 186,946.31 : x
  2. Step 2: Convert to fraction form
    117,624.66/186,946.31 = 186,946.31/x
  3. Step 3: Cross multiply
    117,624.66x = 186,946.31 × 186,946.31
  4. Step 4: Simplify right side
    117,624.66x = 34,948,923,757.35
  5. Step 5: Solve for x
    x = 34,948,923,757.35/117,624.66
  6. Step 6: Final answer
    x = 297,122.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.