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Finding the Third Proportional to 85,514.81 and 183,482.81

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Solution

The third proportional to 85,514.81 and 183,482.81 is: 393,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,514.81 : 183,482.81 = 183,482.81 : x
  2. Step 2: Convert to fraction form
    85,514.81/183,482.81 = 183,482.81/x
  3. Step 3: Cross multiply
    85,514.81x = 183,482.81 × 183,482.81
  4. Step 4: Simplify right side
    85,514.81x = 33,665,942,482.91
  5. Step 5: Solve for x
    x = 33,665,942,482.91/85,514.81
  6. Step 6: Final answer
    x = 393,685.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.