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Finding the Third Proportional to 85,970.81 and 188,959.13

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Solution

The third proportional to 85,970.81 and 188,959.13 is: 415,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,970.81 : 188,959.13 = 188,959.13 : x
  2. Step 2: Convert to fraction form
    85,970.81/188,959.13 = 188,959.13/x
  3. Step 3: Cross multiply
    85,970.81x = 188,959.13 × 188,959.13
  4. Step 4: Simplify right side
    85,970.81x = 35,705,550,920.77
  5. Step 5: Solve for x
    x = 35,705,550,920.77/85,970.81
  6. Step 6: Final answer
    x = 415,321.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.