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Finding the Third Proportional to 97,721 and 214,146

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Solution

The third proportional to 97,721 and 214,146 is: 469,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,721 : 214,146 = 214,146 : x
  2. Step 2: Convert to fraction form
    97,721/214,146 = 214,146/x
  3. Step 3: Cross multiply
    97,721x = 214,146 × 214,146
  4. Step 4: Simplify right side
    97,721x = 45,858,509,316
  5. Step 5: Solve for x
    x = 45,858,509,316/97,721
  6. Step 6: Final answer
    x = 469,279.98

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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.