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Finding the Third Proportional to 137,015.30 and 215,235.98

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Solution

The third proportional to 137,015.30 and 215,235.98 is: 338,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,015.30 : 215,235.98 = 215,235.98 : x
  2. Step 2: Convert to fraction form
    137,015.30/215,235.98 = 215,235.98/x
  3. Step 3: Cross multiply
    137,015.30x = 215,235.98 × 215,235.98
  4. Step 4: Simplify right side
    137,015.30x = 46,326,528,969.88
  5. Step 5: Solve for x
    x = 46,326,528,969.88/137,015.30
  6. Step 6: Final answer
    x = 338,112.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.