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Finding the Third Proportional to 103,804.88 and 155,166.75

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Solution

The third proportional to 103,804.88 and 155,166.75 is: 231,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,804.88 : 155,166.75 = 155,166.75 : x
  2. Step 2: Convert to fraction form
    103,804.88/155,166.75 = 155,166.75/x
  3. Step 3: Cross multiply
    103,804.88x = 155,166.75 × 155,166.75
  4. Step 4: Simplify right side
    103,804.88x = 24,076,720,305.56
  5. Step 5: Solve for x
    x = 24,076,720,305.56/103,804.88
  6. Step 6: Final answer
    x = 231,942.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.