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Finding the Third Proportional to 96,435.56 and 144,559.69

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Solution

The third proportional to 96,435.56 and 144,559.69 is: 216,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,435.56 : 144,559.69 = 144,559.69 : x
  2. Step 2: Convert to fraction form
    96,435.56/144,559.69 = 144,559.69/x
  3. Step 3: Cross multiply
    96,435.56x = 144,559.69 × 144,559.69
  4. Step 4: Simplify right side
    96,435.56x = 20,897,503,250.10
  5. Step 5: Solve for x
    x = 20,897,503,250.10/96,435.56
  6. Step 6: Final answer
    x = 216,699.14

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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.