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Finding the Third Proportional to 103,617.19 and 154,783.88

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Solution

The third proportional to 103,617.19 and 154,783.88 is: 231,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617.19 : 154,783.88 = 154,783.88 : x
  2. Step 2: Convert to fraction form
    103,617.19/154,783.88 = 154,783.88/x
  3. Step 3: Cross multiply
    103,617.19x = 154,783.88 × 154,783.88
  4. Step 4: Simplify right side
    103,617.19x = 23,958,047,960.02
  5. Step 5: Solve for x
    x = 23,958,047,960.02/103,617.19
  6. Step 6: Final answer
    x = 231,216.93

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