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Finding the Third Proportional to 99,735.38 and 218,546.06

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Solution

The third proportional to 99,735.38 and 218,546.06 is: 478,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,735.38 : 218,546.06 = 218,546.06 : x
  2. Step 2: Convert to fraction form
    99,735.38/218,546.06 = 218,546.06/x
  3. Step 3: Cross multiply
    99,735.38x = 218,546.06 × 218,546.06
  4. Step 4: Simplify right side
    99,735.38x = 47,762,381,434.25
  5. Step 5: Solve for x
    x = 47,762,381,434.25/99,735.38
  6. Step 6: Final answer
    x = 478,891.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.