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Finding the Third Proportional to 100,305 and 218,590.50

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Solution

The third proportional to 100,305 and 218,590.50 is: 476,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,305 : 218,590.50 = 218,590.50 : x
  2. Step 2: Convert to fraction form
    100,305/218,590.50 = 218,590.50/x
  3. Step 3: Cross multiply
    100,305x = 218,590.50 × 218,590.50
  4. Step 4: Simplify right side
    100,305x = 47,781,806,690.25
  5. Step 5: Solve for x
    x = 47,781,806,690.25/100,305
  6. Step 6: Final answer
    x = 476,365.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.