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Finding the Third Proportional to 111,996.42 and 243,675.84

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Solution

The third proportional to 111,996.42 and 243,675.84 is: 530,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,996.42 : 243,675.84 = 243,675.84 : x
  2. Step 2: Convert to fraction form
    111,996.42/243,675.84 = 243,675.84/x
  3. Step 3: Cross multiply
    111,996.42x = 243,675.84 × 243,675.84
  4. Step 4: Simplify right side
    111,996.42x = 59,377,916,827.27
  5. Step 5: Solve for x
    x = 59,377,916,827.27/111,996.42
  6. Step 6: Final answer
    x = 530,176.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.