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Finding the Third Proportional to 96,448 and 210,976

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Solution

The third proportional to 96,448 and 210,976 is: 461,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,448 : 210,976 = 210,976 : x
  2. Step 2: Convert to fraction form
    96,448/210,976 = 210,976/x
  3. Step 3: Cross multiply
    96,448x = 210,976 × 210,976
  4. Step 4: Simplify right side
    96,448x = 44,510,872,576
  5. Step 5: Solve for x
    x = 44,510,872,576/96,448
  6. Step 6: Final answer
    x = 461,501.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.