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Finding the Third Proportional to 96,509 and 215,158

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Solution

The third proportional to 96,509 and 215,158 is: 479,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,509 : 215,158 = 215,158 : x
  2. Step 2: Convert to fraction form
    96,509/215,158 = 215,158/x
  3. Step 3: Cross multiply
    96,509x = 215,158 × 215,158
  4. Step 4: Simplify right side
    96,509x = 46,292,964,964
  5. Step 5: Solve for x
    x = 46,292,964,964/96,509
  6. Step 6: Final answer
    x = 479,675.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.