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Finding the Third Proportional to 208,108.50 and 448,611.75

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Solution

The third proportional to 208,108.50 and 448,611.75 is: 967,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,108.50 : 448,611.75 = 448,611.75 : x
  2. Step 2: Convert to fraction form
    208,108.50/448,611.75 = 448,611.75/x
  3. Step 3: Cross multiply
    208,108.50x = 448,611.75 × 448,611.75
  4. Step 4: Simplify right side
    208,108.50x = 201,252,502,238.06
  5. Step 5: Solve for x
    x = 201,252,502,238.06/208,108.50
  6. Step 6: Final answer
    x = 967,055.66

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