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Finding the Third Proportional to 96,853 and 209,791

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Solution

The third proportional to 96,853 and 209,791 is: 454,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,853 : 209,791 = 209,791 : x
  2. Step 2: Convert to fraction form
    96,853/209,791 = 209,791/x
  3. Step 3: Cross multiply
    96,853x = 209,791 × 209,791
  4. Step 4: Simplify right side
    96,853x = 44,012,263,681
  5. Step 5: Solve for x
    x = 44,012,263,681/96,853
  6. Step 6: Final answer
    x = 454,423.34

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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.