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Finding the Third Proportional to 149,986.13 and 210,945.38

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Solution

The third proportional to 149,986.13 and 210,945.38 is: 296,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,986.13 : 210,945.38 = 210,945.38 : x
  2. Step 2: Convert to fraction form
    149,986.13/210,945.38 = 210,945.38/x
  3. Step 3: Cross multiply
    149,986.13x = 210,945.38 × 210,945.38
  4. Step 4: Simplify right side
    149,986.13x = 44,497,951,233.89
  5. Step 5: Solve for x
    x = 44,497,951,233.89/149,986.13
  6. Step 6: Final answer
    x = 296,680.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.