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Finding the Third Proportional to 91,857.13 and 196,836.13

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Solution

The third proportional to 91,857.13 and 196,836.13 is: 421,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,857.13 : 196,836.13 = 196,836.13 : x
  2. Step 2: Convert to fraction form
    91,857.13/196,836.13 = 196,836.13/x
  3. Step 3: Cross multiply
    91,857.13x = 196,836.13 × 196,836.13
  4. Step 4: Simplify right side
    91,857.13x = 38,744,460,105.02
  5. Step 5: Solve for x
    x = 38,744,460,105.02/91,857.13
  6. Step 6: Final answer
    x = 421,790.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.