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Finding the Third Proportional to 63,099 and 147,450.38

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Solution

The third proportional to 63,099 and 147,450.38 is: 344,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,099 : 147,450.38 = 147,450.38 : x
  2. Step 2: Convert to fraction form
    63,099/147,450.38 = 147,450.38/x
  3. Step 3: Cross multiply
    63,099x = 147,450.38 × 147,450.38
  4. Step 4: Simplify right side
    63,099x = 21,741,613,087.64
  5. Step 5: Solve for x
    x = 21,741,613,087.64/63,099
  6. Step 6: Final answer
    x = 344,563.51

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.