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Finding the Third Proportional to 96,812.25 and 210,848.44

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Solution

The third proportional to 96,812.25 and 210,848.44 is: 459,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,812.25 : 210,848.44 = 210,848.44 : x
  2. Step 2: Convert to fraction form
    96,812.25/210,848.44 = 210,848.44/x
  3. Step 3: Cross multiply
    96,812.25x = 210,848.44 × 210,848.44
  4. Step 4: Simplify right side
    96,812.25x = 44,457,063,596.19
  5. Step 5: Solve for x
    x = 44,457,063,596.19/96,812.25
  6. Step 6: Final answer
    x = 459,209.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.