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Finding the Third Proportional to 102,790.13 and 154,185.19

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Solution

The third proportional to 102,790.13 and 154,185.19 is: 231,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,790.13 : 154,185.19 = 154,185.19 : x
  2. Step 2: Convert to fraction form
    102,790.13/154,185.19 = 154,185.19/x
  3. Step 3: Cross multiply
    102,790.13x = 154,185.19 × 154,185.19
  4. Step 4: Simplify right side
    102,790.13x = 23,773,072,044.41
  5. Step 5: Solve for x
    x = 23,773,072,044.41/102,790.13
  6. Step 6: Final answer
    x = 231,277.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.