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Finding the Third Proportional to 103,200.47 and 215,764.03

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Solution

The third proportional to 103,200.47 and 215,764.03 is: 451,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,200.47 : 215,764.03 = 215,764.03 : x
  2. Step 2: Convert to fraction form
    103,200.47/215,764.03 = 215,764.03/x
  3. Step 3: Cross multiply
    103,200.47x = 215,764.03 × 215,764.03
  4. Step 4: Simplify right side
    103,200.47x = 46,554,117,181.25
  5. Step 5: Solve for x
    x = 46,554,117,181.25/103,200.47
  6. Step 6: Final answer
    x = 451,103.74

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