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Finding the Third Proportional to 96,964.59 and 225,329.34

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Solution

The third proportional to 96,964.59 and 225,329.34 is: 523,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,964.59 : 225,329.34 = 225,329.34 : x
  2. Step 2: Convert to fraction form
    96,964.59/225,329.34 = 225,329.34/x
  3. Step 3: Cross multiply
    96,964.59x = 225,329.34 × 225,329.34
  4. Step 4: Simplify right side
    96,964.59x = 50,773,313,154.81
  5. Step 5: Solve for x
    x = 50,773,313,154.81/96,964.59
  6. Step 6: Final answer
    x = 523,627.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.