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Finding the Third Proportional to 99,426 and 215,790

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Solution

The third proportional to 99,426 and 215,790 is: 468,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,426 : 215,790 = 215,790 : x
  2. Step 2: Convert to fraction form
    99,426/215,790 = 215,790/x
  3. Step 3: Cross multiply
    99,426x = 215,790 × 215,790
  4. Step 4: Simplify right side
    99,426x = 46,565,324,100
  5. Step 5: Solve for x
    x = 46,565,324,100/99,426
  6. Step 6: Final answer
    x = 468,341.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.