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Finding the Third Proportional to 190,765.13 and 409,186.69

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Solution

The third proportional to 190,765.13 and 409,186.69 is: 877,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,765.13 : 409,186.69 = 409,186.69 : x
  2. Step 2: Convert to fraction form
    190,765.13/409,186.69 = 409,186.69/x
  3. Step 3: Cross multiply
    190,765.13x = 409,186.69 × 409,186.69
  4. Step 4: Simplify right side
    190,765.13x = 167,433,745,227.22
  5. Step 5: Solve for x
    x = 167,433,745,227.22/190,765.13
  6. Step 6: Final answer
    x = 877,695.78

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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.