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Finding the Third Proportional to 85,815.33 and 179,473.08

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Solution

The third proportional to 85,815.33 and 179,473.08 is: 375,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,815.33 : 179,473.08 = 179,473.08 : x
  2. Step 2: Convert to fraction form
    85,815.33/179,473.08 = 179,473.08/x
  3. Step 3: Cross multiply
    85,815.33x = 179,473.08 × 179,473.08
  4. Step 4: Simplify right side
    85,815.33x = 32,210,585,771.66
  5. Step 5: Solve for x
    x = 32,210,585,771.66/85,815.33
  6. Step 6: Final answer
    x = 375,347.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.