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Finding the Third Proportional to 100,596.75 and 209,457.75

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Solution

The third proportional to 100,596.75 and 209,457.75 is: 436,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596.75 : 209,457.75 = 209,457.75 : x
  2. Step 2: Convert to fraction form
    100,596.75/209,457.75 = 209,457.75/x
  3. Step 3: Cross multiply
    100,596.75x = 209,457.75 × 209,457.75
  4. Step 4: Simplify right side
    100,596.75x = 43,872,549,035.06
  5. Step 5: Solve for x
    x = 43,872,549,035.06/100,596.75
  6. Step 6: Final answer
    x = 436,122.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.