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Finding the Third Proportional to 111,464.50 and 241,109

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Solution

The third proportional to 111,464.50 and 241,109 is: 521,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,464.50 : 241,109 = 241,109 : x
  2. Step 2: Convert to fraction form
    111,464.50/241,109 = 241,109/x
  3. Step 3: Cross multiply
    111,464.50x = 241,109 × 241,109
  4. Step 4: Simplify right side
    111,464.50x = 58,133,549,881
  5. Step 5: Solve for x
    x = 58,133,549,881/111,464.50
  6. Step 6: Final answer
    x = 521,543.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.