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Finding the Third Proportional to 96,801.75 and 212,301.84

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Solution

The third proportional to 96,801.75 and 212,301.84 is: 465,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,801.75 : 212,301.84 = 212,301.84 : x
  2. Step 2: Convert to fraction form
    96,801.75/212,301.84 = 212,301.84/x
  3. Step 3: Cross multiply
    96,801.75x = 212,301.84 × 212,301.84
  4. Step 4: Simplify right side
    96,801.75x = 45,072,072,859.65
  5. Step 5: Solve for x
    x = 45,072,072,859.65/96,801.75
  6. Step 6: Final answer
    x = 465,612.17

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