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Finding the Third Proportional to 89,823.38 and 149,697

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Solution

The third proportional to 89,823.38 and 149,697 is: 249,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,823.38 : 149,697 = 149,697 : x
  2. Step 2: Convert to fraction form
    89,823.38/149,697 = 149,697/x
  3. Step 3: Cross multiply
    89,823.38x = 149,697 × 149,697
  4. Step 4: Simplify right side
    89,823.38x = 22,409,191,809
  5. Step 5: Solve for x
    x = 22,409,191,809/89,823.38
  6. Step 6: Final answer
    x = 249,480.63

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.