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Finding the Third Proportional to 83,139.19 and 181,806.19

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Solution

The third proportional to 83,139.19 and 181,806.19 is: 397,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,139.19 : 181,806.19 = 181,806.19 : x
  2. Step 2: Convert to fraction form
    83,139.19/181,806.19 = 181,806.19/x
  3. Step 3: Cross multiply
    83,139.19x = 181,806.19 × 181,806.19
  4. Step 4: Simplify right side
    83,139.19x = 33,053,489,813.29
  5. Step 5: Solve for x
    x = 33,053,489,813.29/83,139.19
  6. Step 6: Final answer
    x = 397,568.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.