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Finding the Third Proportional to 91,864.13 and 196,849.69

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Solution

The third proportional to 91,864.13 and 196,849.69 is: 421,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,864.13 : 196,849.69 = 196,849.69 : x
  2. Step 2: Convert to fraction form
    91,864.13/196,849.69 = 196,849.69/x
  3. Step 3: Cross multiply
    91,864.13x = 196,849.69 × 196,849.69
  4. Step 4: Simplify right side
    91,864.13x = 38,749,799,468.85
  5. Step 5: Solve for x
    x = 38,749,799,468.85/91,864.13
  6. Step 6: Final answer
    x = 421,816.45

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