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Finding the Third Proportional to 109,466.44 and 236,924.58

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Solution

The third proportional to 109,466.44 and 236,924.58 is: 512,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,466.44 : 236,924.58 = 236,924.58 : x
  2. Step 2: Convert to fraction form
    109,466.44/236,924.58 = 236,924.58/x
  3. Step 3: Cross multiply
    109,466.44x = 236,924.58 × 236,924.58
  4. Step 4: Simplify right side
    109,466.44x = 56,133,255,719.71
  5. Step 5: Solve for x
    x = 56,133,255,719.71/109,466.44
  6. Step 6: Final answer
    x = 512,789.65

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Why These Related Problems?

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