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Finding the Third Proportional to 103,419 and 146,343.38

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Solution

The third proportional to 103,419 and 146,343.38 is: 207,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,419 : 146,343.38 = 146,343.38 : x
  2. Step 2: Convert to fraction form
    103,419/146,343.38 = 146,343.38/x
  3. Step 3: Cross multiply
    103,419x = 146,343.38 × 146,343.38
  4. Step 4: Simplify right side
    103,419x = 21,416,383,406.39
  5. Step 5: Solve for x
    x = 21,416,383,406.39/103,419
  6. Step 6: Final answer
    x = 207,083.64

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.