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Finding the Third Proportional to 100,245.75 and 216,036.75

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Solution

The third proportional to 100,245.75 and 216,036.75 is: 465,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,245.75 : 216,036.75 = 216,036.75 : x
  2. Step 2: Convert to fraction form
    100,245.75/216,036.75 = 216,036.75/x
  3. Step 3: Cross multiply
    100,245.75x = 216,036.75 × 216,036.75
  4. Step 4: Simplify right side
    100,245.75x = 46,671,877,350.56
  5. Step 5: Solve for x
    x = 46,671,877,350.56/100,245.75
  6. Step 6: Final answer
    x = 465,574.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.