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Finding the Third Proportional to 103,036 and 215,000

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Solution

The third proportional to 103,036 and 215,000 is: 448,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,036 : 215,000 = 215,000 : x
  2. Step 2: Convert to fraction form
    103,036/215,000 = 215,000/x
  3. Step 3: Cross multiply
    103,036x = 215,000 × 215,000
  4. Step 4: Simplify right side
    103,036x = 46,225,000,000
  5. Step 5: Solve for x
    x = 46,225,000,000/103,036
  6. Step 6: Final answer
    x = 448,629.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.