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Finding the Third Proportional to 109,214.44 and 233,612.44

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Solution

The third proportional to 109,214.44 and 233,612.44 is: 499,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,214.44 : 233,612.44 = 233,612.44 : x
  2. Step 2: Convert to fraction form
    109,214.44/233,612.44 = 233,612.44/x
  3. Step 3: Cross multiply
    109,214.44x = 233,612.44 × 233,612.44
  4. Step 4: Simplify right side
    109,214.44x = 54,574,770,954.69
  5. Step 5: Solve for x
    x = 54,574,770,954.69/109,214.44
  6. Step 6: Final answer
    x = 499,702.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.