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Finding the Third Proportional to 97,768 and 214,216

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Solution

The third proportional to 97,768 and 214,216 is: 469,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,768 : 214,216 = 214,216 : x
  2. Step 2: Convert to fraction form
    97,768/214,216 = 214,216/x
  3. Step 3: Cross multiply
    97,768x = 214,216 × 214,216
  4. Step 4: Simplify right side
    97,768x = 45,888,494,656
  5. Step 5: Solve for x
    x = 45,888,494,656/97,768
  6. Step 6: Final answer
    x = 469,361.09

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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.