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Finding the Third Proportional to 99,744.75 and 152,599.78

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Solution

The third proportional to 99,744.75 and 152,599.78 is: 233,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,744.75 : 152,599.78 = 152,599.78 : x
  2. Step 2: Convert to fraction form
    99,744.75/152,599.78 = 152,599.78/x
  3. Step 3: Cross multiply
    99,744.75x = 152,599.78 × 152,599.78
  4. Step 4: Simplify right side
    99,744.75x = 23,286,693,237.55
  5. Step 5: Solve for x
    x = 23,286,693,237.55/99,744.75
  6. Step 6: Final answer
    x = 233,462.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.