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Finding the Third Proportional to 103,609.41 and 154,774.13

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Solution

The third proportional to 103,609.41 and 154,774.13 is: 231,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,609.41 : 154,774.13 = 154,774.13 : x
  2. Step 2: Convert to fraction form
    103,609.41/154,774.13 = 154,774.13/x
  3. Step 3: Cross multiply
    103,609.41x = 154,774.13 × 154,774.13
  4. Step 4: Simplify right side
    103,609.41x = 23,955,029,769.52
  5. Step 5: Solve for x
    x = 23,955,029,769.52/103,609.41
  6. Step 6: Final answer
    x = 231,205.16

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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.