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Finding the Third Proportional to 97,913 and 214,483

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Solution

The third proportional to 97,913 and 214,483 is: 469,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,913 : 214,483 = 214,483 : x
  2. Step 2: Convert to fraction form
    97,913/214,483 = 214,483/x
  3. Step 3: Cross multiply
    97,913x = 214,483 × 214,483
  4. Step 4: Simplify right side
    97,913x = 46,002,957,289
  5. Step 5: Solve for x
    x = 46,002,957,289/97,913
  6. Step 6: Final answer
    x = 469,835.03

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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.