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Finding the Third Proportional to 103,668.19 and 146,085.19

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Solution

The third proportional to 103,668.19 and 146,085.19 is: 205,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,668.19 : 146,085.19 = 146,085.19 : x
  2. Step 2: Convert to fraction form
    103,668.19/146,085.19 = 146,085.19/x
  3. Step 3: Cross multiply
    103,668.19x = 146,085.19 × 146,085.19
  4. Step 4: Simplify right side
    103,668.19x = 21,340,882,006.91
  5. Step 5: Solve for x
    x = 21,340,882,006.91/103,668.19
  6. Step 6: Final answer
    x = 205,857.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.