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Finding the Third Proportional to 96,776 and 207,376

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Solution

The third proportional to 96,776 and 207,376 is: 444,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,776 : 207,376 = 207,376 : x
  2. Step 2: Convert to fraction form
    96,776/207,376 = 207,376/x
  3. Step 3: Cross multiply
    96,776x = 207,376 × 207,376
  4. Step 4: Simplify right side
    96,776x = 43,004,805,376
  5. Step 5: Solve for x
    x = 43,004,805,376/96,776
  6. Step 6: Final answer
    x = 444,374.69

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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.