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Finding the Third Proportional to 100,288 and 220,259.75

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Solution

The third proportional to 100,288 and 220,259.75 is: 483,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288 : 220,259.75 = 220,259.75 : x
  2. Step 2: Convert to fraction form
    100,288/220,259.75 = 220,259.75/x
  3. Step 3: Cross multiply
    100,288x = 220,259.75 × 220,259.75
  4. Step 4: Simplify right side
    100,288x = 48,514,357,470.06
  5. Step 5: Solve for x
    x = 48,514,357,470.06/100,288
  6. Step 6: Final answer
    x = 483,750.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.