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Finding the Third Proportional to 99,166.78 and 146,665.69

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Solution

The third proportional to 99,166.78 and 146,665.69 is: 216,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,166.78 : 146,665.69 = 146,665.69 : x
  2. Step 2: Convert to fraction form
    99,166.78/146,665.69 = 146,665.69/x
  3. Step 3: Cross multiply
    99,166.78x = 146,665.69 × 146,665.69
  4. Step 4: Simplify right side
    99,166.78x = 21,510,823,889.85
  5. Step 5: Solve for x
    x = 21,510,823,889.85/99,166.78
  6. Step 6: Final answer
    x = 216,915.62

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.