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Finding the Third Proportional to 107,994.38 and 152,013.38

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Solution

The third proportional to 107,994.38 and 152,013.38 is: 213,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,994.38 : 152,013.38 = 152,013.38 : x
  2. Step 2: Convert to fraction form
    107,994.38/152,013.38 = 152,013.38/x
  3. Step 3: Cross multiply
    107,994.38x = 152,013.38 × 152,013.38
  4. Step 4: Simplify right side
    107,994.38x = 23,108,066,178.89
  5. Step 5: Solve for x
    x = 23,108,066,178.89/107,994.38
  6. Step 6: Final answer
    x = 213,974.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.