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Finding the Third Proportional to 100,306.69 and 155,816.16

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Solution

The third proportional to 100,306.69 and 155,816.16 is: 242,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,306.69 : 155,816.16 = 155,816.16 : x
  2. Step 2: Convert to fraction form
    100,306.69/155,816.16 = 155,816.16/x
  3. Step 3: Cross multiply
    100,306.69x = 155,816.16 × 155,816.16
  4. Step 4: Simplify right side
    100,306.69x = 24,278,674,548.52
  5. Step 5: Solve for x
    x = 24,278,674,548.52/100,306.69
  6. Step 6: Final answer
    x = 242,044.43

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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.