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Finding the Third Proportional to 96,580 and 203,648

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Solution

The third proportional to 96,580 and 203,648 is: 429,410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,580 : 203,648 = 203,648 : x
  2. Step 2: Convert to fraction form
    96,580/203,648 = 203,648/x
  3. Step 3: Cross multiply
    96,580x = 203,648 × 203,648
  4. Step 4: Simplify right side
    96,580x = 41,472,507,904
  5. Step 5: Solve for x
    x = 41,472,507,904/96,580
  6. Step 6: Final answer
    x = 429,410.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.