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Finding the Third Proportional to 96,822 and 212,307.75

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Solution

The third proportional to 96,822 and 212,307.75 is: 465,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,822 : 212,307.75 = 212,307.75 : x
  2. Step 2: Convert to fraction form
    96,822/212,307.75 = 212,307.75/x
  3. Step 3: Cross multiply
    96,822x = 212,307.75 × 212,307.75
  4. Step 4: Simplify right side
    96,822x = 45,074,580,710.06
  5. Step 5: Solve for x
    x = 45,074,580,710.06/96,822
  6. Step 6: Final answer
    x = 465,540.69

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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.