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Finding the Third Proportional to 89,820.56 and 149,693.06

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Solution

The third proportional to 89,820.56 and 149,693.06 is: 249,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,820.56 : 149,693.06 = 149,693.06 : x
  2. Step 2: Convert to fraction form
    89,820.56/149,693.06 = 149,693.06/x
  3. Step 3: Cross multiply
    89,820.56x = 149,693.06 × 149,693.06
  4. Step 4: Simplify right side
    89,820.56x = 22,408,012,960.63
  5. Step 5: Solve for x
    x = 22,408,012,960.63/89,820.56
  6. Step 6: Final answer
    x = 249,475.31

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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.