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Finding the Third Proportional to 97,716 and 214,134

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Solution

The third proportional to 97,716 and 214,134 is: 469,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,716 : 214,134 = 214,134 : x
  2. Step 2: Convert to fraction form
    97,716/214,134 = 214,134/x
  3. Step 3: Cross multiply
    97,716x = 214,134 × 214,134
  4. Step 4: Simplify right side
    97,716x = 45,853,369,956
  5. Step 5: Solve for x
    x = 45,853,369,956/97,716
  6. Step 6: Final answer
    x = 469,251.40

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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.