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Finding the Third Proportional to 109,820.81 and 146,073.38

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Solution

The third proportional to 109,820.81 and 146,073.38 is: 194,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,820.81 : 146,073.38 = 146,073.38 : x
  2. Step 2: Convert to fraction form
    109,820.81/146,073.38 = 146,073.38/x
  3. Step 3: Cross multiply
    109,820.81x = 146,073.38 × 146,073.38
  4. Step 4: Simplify right side
    109,820.81x = 21,337,430,883.89
  5. Step 5: Solve for x
    x = 21,337,430,883.89/109,820.81
  6. Step 6: Final answer
    x = 194,293.14

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.