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Finding the Third Proportional to 97,863 and 215,958

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Solution

The third proportional to 97,863 and 215,958 is: 476,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,863 : 215,958 = 215,958 : x
  2. Step 2: Convert to fraction form
    97,863/215,958 = 215,958/x
  3. Step 3: Cross multiply
    97,863x = 215,958 × 215,958
  4. Step 4: Simplify right side
    97,863x = 46,637,857,764
  5. Step 5: Solve for x
    x = 46,637,857,764/97,863
  6. Step 6: Final answer
    x = 476,562.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.