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Finding the Third Proportional to 147,085.88 and 220,051.69

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Solution

The third proportional to 147,085.88 and 220,051.69 is: 329,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,085.88 : 220,051.69 = 220,051.69 : x
  2. Step 2: Convert to fraction form
    147,085.88/220,051.69 = 220,051.69/x
  3. Step 3: Cross multiply
    147,085.88x = 220,051.69 × 220,051.69
  4. Step 4: Simplify right side
    147,085.88x = 48,422,745,171.60
  5. Step 5: Solve for x
    x = 48,422,745,171.60/147,085.88
  6. Step 6: Final answer
    x = 329,214.11

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