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Finding the Third Proportional to 99,264 and 148,914

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Solution

The third proportional to 99,264 and 148,914 is: 223,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,264 : 148,914 = 148,914 : x
  2. Step 2: Convert to fraction form
    99,264/148,914 = 148,914/x
  3. Step 3: Cross multiply
    99,264x = 148,914 × 148,914
  4. Step 4: Simplify right side
    99,264x = 22,175,379,396
  5. Step 5: Solve for x
    x = 22,175,379,396/99,264
  6. Step 6: Final answer
    x = 223,398.00

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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.