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Finding the Third Proportional to 85,971.38 and 188,551.13

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Solution

The third proportional to 85,971.38 and 188,551.13 is: 413,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,971.38 : 188,551.13 = 188,551.13 : x
  2. Step 2: Convert to fraction form
    85,971.38/188,551.13 = 188,551.13/x
  3. Step 3: Cross multiply
    85,971.38x = 188,551.13 × 188,551.13
  4. Step 4: Simplify right side
    85,971.38x = 35,551,526,738.77
  5. Step 5: Solve for x
    x = 35,551,526,738.77/85,971.38
  6. Step 6: Final answer
    x = 413,527.49

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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.