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Finding the Third Proportional to 99,265.50 and 234,145.69

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Solution

The third proportional to 99,265.50 and 234,145.69 is: 552,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,265.50 : 234,145.69 = 234,145.69 : x
  2. Step 2: Convert to fraction form
    99,265.50/234,145.69 = 234,145.69/x
  3. Step 3: Cross multiply
    99,265.50x = 234,145.69 × 234,145.69
  4. Step 4: Simplify right side
    99,265.50x = 54,824,202,974.85
  5. Step 5: Solve for x
    x = 54,824,202,974.85/99,265.50
  6. Step 6: Final answer
    x = 552,298.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.