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Finding the Third Proportional to 96,650 and 209,902

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Solution

The third proportional to 96,650 and 209,902 is: 455,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,650 : 209,902 = 209,902 : x
  2. Step 2: Convert to fraction form
    96,650/209,902 = 209,902/x
  3. Step 3: Cross multiply
    96,650x = 209,902 × 209,902
  4. Step 4: Simplify right side
    96,650x = 44,058,849,604
  5. Step 5: Solve for x
    x = 44,058,849,604/96,650
  6. Step 6: Final answer
    x = 455,859.80

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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.