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Finding the Third Proportional to 96,769 and 207,362

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Solution

The third proportional to 96,769 and 207,362 is: 444,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,769 : 207,362 = 207,362 : x
  2. Step 2: Convert to fraction form
    96,769/207,362 = 207,362/x
  3. Step 3: Cross multiply
    96,769x = 207,362 × 207,362
  4. Step 4: Simplify right side
    96,769x = 42,998,999,044
  5. Step 5: Solve for x
    x = 42,998,999,044/96,769
  6. Step 6: Final answer
    x = 444,346.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.