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Finding the Third Proportional to 89,806.64 and 149,671.55

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Solution

The third proportional to 89,806.64 and 149,671.55 is: 249,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,806.64 : 149,671.55 = 149,671.55 : x
  2. Step 2: Convert to fraction form
    89,806.64/149,671.55 = 149,671.55/x
  3. Step 3: Cross multiply
    89,806.64x = 149,671.55 × 149,671.55
  4. Step 4: Simplify right side
    89,806.64x = 22,401,571,943.96
  5. Step 5: Solve for x
    x = 22,401,571,943.96/89,806.64
  6. Step 6: Final answer
    x = 249,442.27

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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.