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Finding the Third Proportional to 81,482.81 and 176,532.19

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Solution

The third proportional to 81,482.81 and 176,532.19 is: 382,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,482.81 : 176,532.19 = 176,532.19 : x
  2. Step 2: Convert to fraction form
    81,482.81/176,532.19 = 176,532.19/x
  3. Step 3: Cross multiply
    81,482.81x = 176,532.19 × 176,532.19
  4. Step 4: Simplify right side
    81,482.81x = 31,163,613,223.54
  5. Step 5: Solve for x
    x = 31,163,613,223.54/81,482.81
  6. Step 6: Final answer
    x = 382,456.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.