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Finding the Third Proportional to 66,323.81 and 99,280.69

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Solution

The third proportional to 66,323.81 and 99,280.69 is: 148,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,323.81 : 99,280.69 = 99,280.69 : x
  2. Step 2: Convert to fraction form
    66,323.81/99,280.69 = 99,280.69/x
  3. Step 3: Cross multiply
    66,323.81x = 99,280.69 × 99,280.69
  4. Step 4: Simplify right side
    66,323.81x = 9,856,654,910.47
  5. Step 5: Solve for x
    x = 9,856,654,910.47/66,323.81
  6. Step 6: Final answer
    x = 148,614.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.