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Finding the Third Proportional to 44,612.25 and 99,066

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Solution

The third proportional to 44,612.25 and 99,066 is: 219,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,612.25 : 99,066 = 99,066 : x
  2. Step 2: Convert to fraction form
    44,612.25/99,066 = 99,066/x
  3. Step 3: Cross multiply
    44,612.25x = 99,066 × 99,066
  4. Step 4: Simplify right side
    44,612.25x = 9,814,072,356
  5. Step 5: Solve for x
    x = 9,814,072,356/44,612.25
  6. Step 6: Final answer
    x = 219,986.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.