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Finding the Third Proportional to 132,991.50 and 204,421.50

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Solution

The third proportional to 132,991.50 and 204,421.50 is: 314,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,991.50 : 204,421.50 = 204,421.50 : x
  2. Step 2: Convert to fraction form
    132,991.50/204,421.50 = 204,421.50/x
  3. Step 3: Cross multiply
    132,991.50x = 204,421.50 × 204,421.50
  4. Step 4: Simplify right side
    132,991.50x = 41,788,149,662.25
  5. Step 5: Solve for x
    x = 41,788,149,662.25/132,991.50
  6. Step 6: Final answer
    x = 314,216.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.