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Finding the Third Proportional to 96,330.52 and 209,217.30

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Solution

The third proportional to 96,330.52 and 209,217.30 is: 454,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,330.52 : 209,217.30 = 209,217.30 : x
  2. Step 2: Convert to fraction form
    96,330.52/209,217.30 = 209,217.30/x
  3. Step 3: Cross multiply
    96,330.52x = 209,217.30 × 209,217.30
  4. Step 4: Simplify right side
    96,330.52x = 43,771,880,580.70
  5. Step 5: Solve for x
    x = 43,771,880,580.70/96,330.52
  6. Step 6: Final answer
    x = 454,392.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.