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Finding the Third Proportional to 137,517.19 and 218,804.91

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Solution

The third proportional to 137,517.19 and 218,804.91 is: 348,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,517.19 : 218,804.91 = 218,804.91 : x
  2. Step 2: Convert to fraction form
    137,517.19/218,804.91 = 218,804.91/x
  3. Step 3: Cross multiply
    137,517.19x = 218,804.91 × 218,804.91
  4. Step 4: Simplify right side
    137,517.19x = 47,875,586,999.07
  5. Step 5: Solve for x
    x = 47,875,586,999.07/137,517.19
  6. Step 6: Final answer
    x = 348,142.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.