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Finding the Third Proportional to 69,544.83 and 148,929.89

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Solution

The third proportional to 69,544.83 and 148,929.89 is: 318,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,544.83 : 148,929.89 = 148,929.89 : x
  2. Step 2: Convert to fraction form
    69,544.83/148,929.89 = 148,929.89/x
  3. Step 3: Cross multiply
    69,544.83x = 148,929.89 × 148,929.89
  4. Step 4: Simplify right side
    69,544.83x = 22,180,112,321.57
  5. Step 5: Solve for x
    x = 22,180,112,321.57/69,544.83
  6. Step 6: Final answer
    x = 318,932.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.