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Finding the Third Proportional to 96,816 and 208,464

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Solution

The third proportional to 96,816 and 208,464 is: 448,864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,816 : 208,464 = 208,464 : x
  2. Step 2: Convert to fraction form
    96,816/208,464 = 208,464/x
  3. Step 3: Cross multiply
    96,816x = 208,464 × 208,464
  4. Step 4: Simplify right side
    96,816x = 43,457,239,296
  5. Step 5: Solve for x
    x = 43,457,239,296/96,816
  6. Step 6: Final answer
    x = 448,864.23

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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.