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Finding the Third Proportional to 96,807 and 209,703

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Solution

The third proportional to 96,807 and 209,703 is: 454,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,807 : 209,703 = 209,703 : x
  2. Step 2: Convert to fraction form
    96,807/209,703 = 209,703/x
  3. Step 3: Cross multiply
    96,807x = 209,703 × 209,703
  4. Step 4: Simplify right side
    96,807x = 43,975,348,209
  5. Step 5: Solve for x
    x = 43,975,348,209/96,807
  6. Step 6: Final answer
    x = 454,257.94

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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.