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Finding the Third Proportional to 65,199.94 and 99,166.78

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Solution

The third proportional to 65,199.94 and 99,166.78 is: 150,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,199.94 : 99,166.78 = 99,166.78 : x
  2. Step 2: Convert to fraction form
    65,199.94/99,166.78 = 99,166.78/x
  3. Step 3: Cross multiply
    65,199.94x = 99,166.78 × 99,166.78
  4. Step 4: Simplify right side
    65,199.94x = 9,834,050,503.49
  5. Step 5: Solve for x
    x = 9,834,050,503.49/65,199.94
  6. Step 6: Final answer
    x = 150,829.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.