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Finding the Third Proportional to 96,484 and 207,656

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Solution

The third proportional to 96,484 and 207,656 is: 446,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,484 : 207,656 = 207,656 : x
  2. Step 2: Convert to fraction form
    96,484/207,656 = 207,656/x
  3. Step 3: Cross multiply
    96,484x = 207,656 × 207,656
  4. Step 4: Simplify right side
    96,484x = 43,121,014,336
  5. Step 5: Solve for x
    x = 43,121,014,336/96,484
  6. Step 6: Final answer
    x = 446,923.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.