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Finding the Third Proportional to 100,305.50 and 155,814.38

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Solution

The third proportional to 100,305.50 and 155,814.38 is: 242,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,305.50 : 155,814.38 = 155,814.38 : x
  2. Step 2: Convert to fraction form
    100,305.50/155,814.38 = 155,814.38/x
  3. Step 3: Cross multiply
    100,305.50x = 155,814.38 × 155,814.38
  4. Step 4: Simplify right side
    100,305.50x = 24,278,119,456.64
  5. Step 5: Solve for x
    x = 24,278,119,456.64/100,305.50
  6. Step 6: Final answer
    x = 242,041.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.