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Finding the Third Proportional to 94,386 and 209,751

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Solution

The third proportional to 94,386 and 209,751 is: 466,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,386 : 209,751 = 209,751 : x
  2. Step 2: Convert to fraction form
    94,386/209,751 = 209,751/x
  3. Step 3: Cross multiply
    94,386x = 209,751 × 209,751
  4. Step 4: Simplify right side
    94,386x = 43,995,482,001
  5. Step 5: Solve for x
    x = 43,995,482,001/94,386
  6. Step 6: Final answer
    x = 466,122.96

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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.